%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SWV816-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 09:04:20 AM UTC 2026
% Result : Unsatisfiable 165.10s 165.46s
% Output : Proof 165.24s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_Compl__anti__mono_0,axiom,
( ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
| c_lessequals(c_HOL_Ouminus__class_Ouminus(V_B,tc_fun(T_a,tc_bool)),c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ),
file('theBenchmark.p',cls_Compl__anti__mono_0) ).
cnf(cls_Compl__subset__Compl__iff_0,axiom,
( ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),c_HOL_Ouminus__class_Ouminus(V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))
| c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool)) ),
file('theBenchmark.p',cls_Compl__subset__Compl__iff_0) ).
cnf(cls_Compl__subset__Compl__iff_1,axiom,
( ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool))
| c_lessequals(c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),c_HOL_Ouminus__class_Ouminus(V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ),
file('theBenchmark.p',cls_Compl__subset__Compl__iff_1) ).
cnf(cls_synth__mono_0,axiom,
( ~ c_lessequals(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(c_Message_Osynth(V_G),c_Message_Osynth(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ),
file('theBenchmark.p',cls_synth__mono_0) ).
cnf(cls_append__Nil2_0,axiom,
c_List_Oappend(V_xs,c_List_Olist_ONil(T_a),T_a) = V_xs,
file('theBenchmark.p',cls_append__Nil2_0) ).
cnf(cls_eq__Nil__appendI_0,axiom,
V_x = c_List_Oappend(c_List_Olist_ONil(T_a),V_x,T_a),
file('theBenchmark.p',cls_eq__Nil__appendI_0) ).
cnf(cls_self__append__conv_1,axiom,
V_xs = c_List_Oappend(V_xs,c_List_Olist_ONil(T_a),T_a),
file('theBenchmark.p',cls_self__append__conv_1) ).
cnf(cls_append__Nil_0,axiom,
c_List_Oappend(c_List_Olist_ONil(T_a),V_ys,T_a) = V_ys,
file('theBenchmark.p',cls_append__Nil_0) ).
cnf(cls_self__append__conv2_1,axiom,
V_ys = c_List_Oappend(c_List_Olist_ONil(T_a),V_ys,T_a),
file('theBenchmark.p',cls_self__append__conv2_1) ).
cnf(cls_sup__top__right_0,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Orderings_Otop__class_Otop(T_a),T_a) = c_Orderings_Otop__class_Otop(T_a)
| ~ class_Lattices_Obounded__lattice(T_a) ),
file('theBenchmark.p',cls_sup__top__right_0) ).
cnf(cls_sup__top__left_0,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Otop__class_Otop(T_a),V_x,T_a) = c_Orderings_Otop__class_Otop(T_a)
| ~ class_Lattices_Obounded__lattice(T_a) ),
file('theBenchmark.p',cls_sup__top__left_0) ).
cnf(cls_Un__UNIV__left_0,axiom,
c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),
file('theBenchmark.p',cls_Un__UNIV__left_0) ).
cnf(cls_Un__UNIV__right_0,axiom,
c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),
file('theBenchmark.p',cls_Un__UNIV__right_0) ).
cnf(cls_parts__Un__subset2_0,axiom,
c_lessequals(c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool))),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(V_G),c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool)),
file('theBenchmark.p',cls_parts__Un__subset2_0) ).
cnf(cls_subset__insertI_0,axiom,
c_lessequals(V_B,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)),
file('theBenchmark.p',cls_subset__insertI_0) ).
cnf(cls_sup1E_0,axiom,
( ~ hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_x))
| hBOOL(hAPP(V_A,V_x))
| hBOOL(hAPP(V_B,V_x)) ),
file('theBenchmark.p',cls_sup1E_0) ).
cnf(cls_sup1CI_0,axiom,
( ~ hBOOL(hAPP(V_B,V_x))
| hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_x)) ),
file('theBenchmark.p',cls_sup1CI_0) ).
cnf(cls_sup1CI_1,axiom,
( ~ hBOOL(hAPP(V_A,V_x))
| hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_x)) ),
file('theBenchmark.p',cls_sup1CI_1) ).
cnf(cls_Nil__is__append__conv_0,axiom,
( V_xs = c_List_Olist_ONil(T_a)
| c_List_Olist_ONil(T_a) != c_List_Oappend(V_xs,V_ys,T_a) ),
file('theBenchmark.p',cls_Nil__is__append__conv_0) ).
cnf(cls_Nil__is__append__conv_1,axiom,
( V_ys = c_List_Olist_ONil(T_a)
| c_List_Olist_ONil(T_a) != c_List_Oappend(V_xs,V_ys,T_a) ),
file('theBenchmark.p',cls_Nil__is__append__conv_1) ).
cnf(cls_append__is__Nil__conv_0,axiom,
( V_xs = c_List_Olist_ONil(T_a)
| c_List_Oappend(V_xs,V_ys,T_a) != c_List_Olist_ONil(T_a) ),
file('theBenchmark.p',cls_append__is__Nil__conv_0) ).
cnf(cls_append__is__Nil__conv_1,axiom,
( V_ys = c_List_Olist_ONil(T_a)
| c_List_Oappend(V_xs,V_ys,T_a) != c_List_Olist_ONil(T_a) ),
file('theBenchmark.p',cls_append__is__Nil__conv_1) ).
cnf(cls_ns__sharedp_ONil_0,axiom,
c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_ONil(tc_Event_Oevent)),
file('theBenchmark.p',cls_ns__sharedp_ONil_0) ).
cnf(cls_synth__Un_0,axiom,
c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(V_G),c_Message_Osynth(V_H),tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Osynth(c_Lattices_Oupper__semilattice__class_Osup(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)),
file('theBenchmark.p',cls_synth__Un_0) ).
cnf(cls_le__imp__neg__le_0,axiom,
( ~ c_lessequals(V_a,V_b,T_a)
| c_lessequals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)
| ~ class_OrderedGroup_Opordered__ab__group__add(T_a) ),
file('theBenchmark.p',cls_le__imp__neg__le_0) ).
cnf(cls_neg__le__iff__le_0,axiom,
( ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)
| c_lessequals(V_a,V_b,T_a)
| ~ class_OrderedGroup_Opordered__ab__group__add(T_a) ),
file('theBenchmark.p',cls_neg__le__iff__le_0) ).
cnf(cls_Un__insert__right_0,axiom,
c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)) = c_Set_Oinsert(V_a,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a),
file('theBenchmark.p',cls_Un__insert__right_0) ).
cnf(cls_Un__insert__left_0,axiom,
c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(V_a,V_B,T_a),V_C,tc_fun(T_a,tc_bool)) = c_Set_Oinsert(V_a,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),T_a),
file('theBenchmark.p',cls_Un__insert__left_0) ).
cnf(cls_event_Osimps_I4_J_0,axiom,
c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg) != c_Event_Oevent_OGets(V_agent_H,V_msg_H),
file('theBenchmark.p',cls_event_Osimps_I4_J_0) ).
cnf(cls_same__append__eq_0,axiom,
( V_ys = V_zs
| c_List_Oappend(V_xs,V_ys,T_a) != c_List_Oappend(V_xs,V_zs,T_a) ),
file('theBenchmark.p',cls_same__append__eq_0) ).
cnf(cls_append__same__eq_0,axiom,
( V_ys = V_zs
| c_List_Oappend(V_ys,V_xs,T_a) != c_List_Oappend(V_zs,V_xs,T_a) ),
file('theBenchmark.p',cls_append__same__eq_0) ).
cnf(cls_subset__insertI2_0,axiom,
( ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
| c_lessequals(V_A,c_Set_Oinsert(V_b,V_B,T_a),tc_fun(T_a,tc_bool)) ),
file('theBenchmark.p',cls_subset__insertI2_0) ).
cnf(cls_insert__subset_1,axiom,
( ~ c_lessequals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool))
| c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ),
file('theBenchmark.p',cls_insert__subset_1) ).
cnf(cls_Un__absorb_0,axiom,
c_Lattices_Oupper__semilattice__class_Osup(V_A,V_A,tc_fun(T_a,tc_bool)) = V_A,
file('theBenchmark.p',cls_Un__absorb_0) ).
cnf(cls_sup__idem_0,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(V_x,V_x,T_a) = V_x
| ~ class_Lattices_Oupper__semilattice(T_a) ),
file('theBenchmark.p',cls_sup__idem_0) ).
cnf(cls_analz__Un_0,axiom,
c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(V_G),c_Message_Oanalz(V_H),tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)),
file('theBenchmark.p',cls_analz__Un_0) ).
cnf(cls_parts__Un__subset1_0,axiom,
c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(V_G),c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)),
file('theBenchmark.p',cls_parts__Un__subset1_0) ).
cnf(cls_synth__subset__iff_1,axiom,
( ~ c_lessequals(V_G,c_Message_Osynth(V_H),tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(c_Message_Osynth(V_G),c_Message_Osynth(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ),
file('theBenchmark.p',cls_synth__subset__iff_1) ).
cnf(cls_synth__subset__iff_0,axiom,
( ~ c_lessequals(c_Message_Osynth(V_G),c_Message_Osynth(V_H),tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(V_G,c_Message_Osynth(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ),
file('theBenchmark.p',cls_synth__subset__iff_0) ).
cnf(cls_Un__left__commute_0,axiom,
c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(V_B,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)),
file('theBenchmark.p',cls_Un__left__commute_0) ).
cnf(cls_Un__assoc_0,axiom,
c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)),
file('theBenchmark.p',cls_Un__assoc_0) ).
cnf(cls_sup__assoc_0,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a)
| ~ class_Lattices_Oupper__semilattice(T_a) ),
file('theBenchmark.p',cls_sup__assoc_0) ).
cnf(cls_sup__left__commute_0,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_z,T_a),T_a)
| ~ class_Lattices_Oupper__semilattice(T_a) ),
file('theBenchmark.p',cls_sup__left__commute_0) ).
cnf(cls_analz__image__freshK__simps_I65_J_0,axiom,
c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)),
file('theBenchmark.p',cls_analz__image__freshK__simps_I65_J_0) ).
cnf(cls_inf__sup__aci_I7_J_0,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_z,T_a),T_a)
| ~ class_Lattices_Olattice(T_a) ),
file('theBenchmark.p',cls_inf__sup__aci_I7_J_0) ).
cnf(cls_inf__sup__aci_I6_J_0,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a)
| ~ class_Lattices_Olattice(T_a) ),
file('theBenchmark.p',cls_inf__sup__aci_I6_J_0) ).
cnf(cls_Un__subset__iff_2,axiom,
( ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool))
| ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool))
| c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) ),
file('theBenchmark.p',cls_Un__subset__iff_2) ).
cnf(cls_Un__upper2_0,axiom,
c_lessequals(V_B,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)),
file('theBenchmark.p',cls_Un__upper2_0) ).
cnf(cls_Un__upper1_0,axiom,
c_lessequals(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)),
file('theBenchmark.p',cls_Un__upper1_0) ).
cnf(cls_Un__least_0,axiom,
( ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool))
| ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool))
| c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) ),
file('theBenchmark.p',cls_Un__least_0) ).
cnf(cls_le__supI_0,axiom,
( ~ c_lessequals(V_a,V_x,T_a)
| ~ c_lessequals(V_b,V_x,T_a)
| c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),V_x,T_a)
| ~ class_Lattices_Oupper__semilattice(T_a) ),
file('theBenchmark.p',cls_le__supI_0) ).
cnf(cls_sup__ge1_0,axiom,
( c_lessequals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a)
| ~ class_Lattices_Oupper__semilattice(T_a) ),
file('theBenchmark.p',cls_sup__ge1_0) ).
cnf(cls_sup__ge2_0,axiom,
( c_lessequals(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a)
| ~ class_Lattices_Oupper__semilattice(T_a) ),
file('theBenchmark.p',cls_sup__ge2_0) ).
cnf(cls_sup__least_0,axiom,
( ~ c_lessequals(V_y,V_x,T_a)
| ~ c_lessequals(V_z,V_x,T_a)
| c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),V_x,T_a)
| ~ class_Lattices_Oupper__semilattice(T_a) ),
file('theBenchmark.p',cls_sup__least_0) ).
cnf(cls_le__sup__iff_2,axiom,
( ~ c_lessequals(V_x,V_z,T_a)
| ~ c_lessequals(V_y,V_z,T_a)
| c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a)
| ~ class_Lattices_Oupper__semilattice(T_a) ),
file('theBenchmark.p',cls_le__sup__iff_2) ).
cnf(cls_inf__sup__ord_I4_J_0,axiom,
( c_lessequals(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a)
| ~ class_Lattices_Olattice(T_a) ),
file('theBenchmark.p',cls_inf__sup__ord_I4_J_0) ).
cnf(cls_inf__sup__ord_I3_J_0,axiom,
( c_lessequals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a)
| ~ class_Lattices_Olattice(T_a) ),
file('theBenchmark.p',cls_inf__sup__ord_I3_J_0) ).
cnf(cls_append__eq__Cons__conv_5,axiom,
c_List_Oappend(c_List_Olist_OCons(V_x,V_xa,T_a),V_zs,T_a) = c_List_Olist_OCons(V_x,c_List_Oappend(V_xa,V_zs,T_a),T_a),
file('theBenchmark.p',cls_append__eq__Cons__conv_5) ).
cnf(cls_append__Cons_0,axiom,
c_List_Oappend(c_List_Olist_OCons(V_x,V_xs,T_a),V_ys,T_a) = c_List_Olist_OCons(V_x,c_List_Oappend(V_xs,V_ys,T_a),T_a),
file('theBenchmark.p',cls_append__Cons_0) ).
cnf(cls_knows__subset__knows__Gets_0,axiom,
c_lessequals(c_Event_Oknows(V_A,V_evs),c_Event_Oknows(V_A,c_List_Olist_OCons(c_Event_Oevent_OGets(V_A_H,V_X),V_evs,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
file('theBenchmark.p',cls_knows__subset__knows__Gets_0) ).
cnf(cls_Compl__partition2_0,axiom,
c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),
file('theBenchmark.p',cls_Compl__partition2_0) ).
cnf(cls_Compl__partition_0,axiom,
c_Lattices_Oupper__semilattice__class_Osup(V_A,c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),
file('theBenchmark.p',cls_Compl__partition_0) ).
cnf(cls_compl__sup__top_0,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(V_x,T_a),V_x,T_a) = c_Orderings_Otop__class_Otop(T_a)
| ~ class_Lattices_Oboolean__algebra(T_a) ),
file('theBenchmark.p',cls_compl__sup__top_0) ).
cnf(cls_sup__compl__top_0,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(V_x,c_HOL_Ouminus__class_Ouminus(V_x,T_a),T_a) = c_Orderings_Otop__class_Otop(T_a)
| ~ class_Lattices_Oboolean__algebra(T_a) ),
file('theBenchmark.p',cls_sup__compl__top_0) ).
cnf(cls_Cons__eq__append__conv_5,axiom,
c_List_Olist_OCons(V_x,c_List_Oappend(V_xa,V_zs,T_a),T_a) = c_List_Oappend(c_List_Olist_OCons(V_x,V_xa,T_a),V_zs,T_a),
file('theBenchmark.p',cls_Cons__eq__append__conv_5) ).
cnf(cls_Cons__eq__appendI_0,axiom,
c_List_Olist_OCons(V_x,c_List_Oappend(V_xs1,V_zs,T_a),T_a) = c_List_Oappend(c_List_Olist_OCons(V_x,V_xs1,T_a),V_zs,T_a),
file('theBenchmark.p',cls_Cons__eq__appendI_0) ).
cnf(cls_Un__commute_0,axiom,
c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(V_B,V_A,tc_fun(T_a,tc_bool)),
file('theBenchmark.p',cls_Un__commute_0) ).
cnf(cls_sup__commute_0,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_y,V_x,T_a)
| ~ class_Lattices_Oupper__semilattice(T_a) ),
file('theBenchmark.p',cls_sup__commute_0) ).
cnf(cls_inf__sup__aci_I5_J_0,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_y,V_x,T_a)
| ~ class_Lattices_Olattice(T_a) ),
file('theBenchmark.p',cls_inf__sup__aci_I5_J_0) ).
cnf(cls_Un__left__absorb_0,axiom,
c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),
file('theBenchmark.p',cls_Un__left__absorb_0) ).
cnf(cls_sup__left__idem_0,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a)
| ~ class_Lattices_Oupper__semilattice(T_a) ),
file('theBenchmark.p',cls_sup__left__idem_0) ).
cnf(cls_inf__sup__aci_I8_J_0,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a)
| ~ class_Lattices_Olattice(T_a) ),
file('theBenchmark.p',cls_inf__sup__aci_I8_J_0) ).
cnf(cls_event_Osimps_I5_J_0,axiom,
c_Event_Oevent_OGets(V_agent_H,V_msg_H) != c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg),
file('theBenchmark.p',cls_event_Osimps_I5_J_0) ).
cnf(cls_Nil__is__append__conv_2,axiom,
c_List_Olist_ONil(T_a) = c_List_Oappend(c_List_Olist_ONil(T_a),c_List_Olist_ONil(T_a),T_a),
file('theBenchmark.p',cls_Nil__is__append__conv_2) ).
cnf(cls_rev__append_0,axiom,
c_List_Orev(c_List_Oappend(V_xs,V_ys,T_a),T_a) = c_List_Oappend(c_List_Orev(V_ys,T_a),c_List_Orev(V_xs,T_a),T_a),
file('theBenchmark.p',cls_rev__append_0) ).
cnf(cls_keysFor__mono_0,axiom,
( ~ c_lessequals(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(c_Message_OkeysFor(V_G),c_Message_OkeysFor(V_H),tc_fun(tc_nat,tc_bool)) ),
file('theBenchmark.p',cls_keysFor__mono_0) ).
cnf(cls_double__complement_0,axiom,
c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = V_A,
file('theBenchmark.p',cls_double__complement_0) ).
cnf(cls_minus__minus_0,axiom,
( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) = V_a
| ~ class_OrderedGroup_Ogroup__add(T_a) ),
file('theBenchmark.p',cls_minus__minus_0) ).
cnf(cls_double__compl_0,axiom,
( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_x,T_a),T_a) = V_x
| ~ class_Lattices_Oboolean__algebra(T_a) ),
file('theBenchmark.p',cls_double__compl_0) ).
cnf(cls_equation__minus__iff_0,axiom,
( V_b = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a)
| ~ class_OrderedGroup_Ogroup__add(T_a) ),
file('theBenchmark.p',cls_equation__minus__iff_0) ).
cnf(cls_equation__minus__iff_1,axiom,
( V_a = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)
| ~ class_OrderedGroup_Ogroup__add(T_a) ),
file('theBenchmark.p',cls_equation__minus__iff_1) ).
cnf(cls_minus__equation__iff_1,axiom,
( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) = V_b
| ~ class_OrderedGroup_Ogroup__add(T_a) ),
file('theBenchmark.p',cls_minus__equation__iff_1) ).
cnf(cls_le__funD_0,axiom,
( ~ c_lessequals(V_f,V_g,tc_fun(T_a,T_b))
| c_lessequals(hAPP(V_f,V_x),hAPP(V_g,V_x),T_b)
| ~ class_HOL_Oord(T_b) ),
file('theBenchmark.p',cls_le__funD_0) ).
cnf(cls_le__minus__iff_0,axiom,
( ~ c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a)
| c_lessequals(V_b,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)
| ~ class_OrderedGroup_Opordered__ab__group__add(T_a) ),
file('theBenchmark.p',cls_le__minus__iff_0) ).
cnf(cls_le__minus__iff_1,axiom,
( ~ c_lessequals(V_b,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)
| c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a)
| ~ class_OrderedGroup_Opordered__ab__group__add(T_a) ),
file('theBenchmark.p',cls_le__minus__iff_1) ).
cnf(cls_minus__le__iff_0,axiom,
( ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a)
| c_lessequals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),V_a,T_a)
| ~ class_OrderedGroup_Opordered__ab__group__add(T_a) ),
file('theBenchmark.p',cls_minus__le__iff_0) ).
cnf(cls_minus__le__iff_1,axiom,
( ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),V_a,T_a)
| c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a)
| ~ class_OrderedGroup_Opordered__ab__group__add(T_a) ),
file('theBenchmark.p',cls_minus__le__iff_1) ).
cnf(cls_subset__iff_0,axiom,
( ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
| ~ c_in(V_t,V_A,T_a)
| c_in(V_t,V_B,T_a) ),
file('theBenchmark.p',cls_subset__iff_0) ).
cnf(cls_set__rev__mp_0,axiom,
( ~ c_in(V_x,V_A,T_a)
| ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
| c_in(V_x,V_B,T_a) ),
file('theBenchmark.p',cls_set__rev__mp_0) ).
cnf(cls_subsetD_0,axiom,
( ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
| ~ c_in(V_c,V_A,T_a)
| c_in(V_c,V_B,T_a) ),
file('theBenchmark.p',cls_subsetD_0) ).
cnf(cls_set__mp_0,axiom,
( ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
| ~ c_in(V_x,V_A,T_a)
| c_in(V_x,V_B,T_a) ),
file('theBenchmark.p',cls_set__mp_0) ).
cnf(cls_UnCI_1,axiom,
( ~ c_in(V_c,V_A,T_a)
| c_in(V_c,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a) ),
file('theBenchmark.p',cls_UnCI_1) ).
cnf(cls_UnCI_0,axiom,
( ~ c_in(V_c,V_B,T_a)
| c_in(V_c,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a) ),
file('theBenchmark.p',cls_UnCI_0) ).
cnf(cls_UnE_0,axiom,
( ~ c_in(V_c,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)
| c_in(V_c,V_A,T_a)
| c_in(V_c,V_B,T_a) ),
file('theBenchmark.p',cls_UnE_0) ).
cnf(cls_ComplI_0,axiom,
( c_in(V_c,V_A,T_a)
| c_in(V_c,c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),T_a) ),
file('theBenchmark.p',cls_ComplI_0) ).
cnf(cls_ComplD_0,axiom,
( ~ c_in(V_c,c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),T_a)
| ~ c_in(V_c,V_A,T_a) ),
file('theBenchmark.p',cls_ComplD_0) ).
cnf(cls_parts__Un_0,axiom,
c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool))) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(V_G),c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)),
file('theBenchmark.p',cls_parts__Un_0) ).
cnf(cls_parts__increasing_0,axiom,
c_lessequals(V_H,c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)),
file('theBenchmark.p',cls_parts__increasing_0) ).
cnf(cls_parts__mono_0,axiom,
( ~ c_lessequals(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(c_Message_Oparts(V_G),c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ),
file('theBenchmark.p',cls_parts__mono_0) ).
cnf(cls_parts__subset__iff_1,axiom,
( ~ c_lessequals(V_G,c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(c_Message_Oparts(V_G),c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ),
file('theBenchmark.p',cls_parts__subset__iff_1) ).
cnf(cls_parts__subset__iff_0,axiom,
( ~ c_lessequals(c_Message_Oparts(V_G),c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(V_G,c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ),
file('theBenchmark.p',cls_parts__subset__iff_0) ).
cnf(cls_analz__mono_0,axiom,
( ~ c_lessequals(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(c_Message_Oanalz(V_G),c_Message_Oanalz(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ),
file('theBenchmark.p',cls_analz__mono_0) ).
cnf(cls_analz__subset__iff_1,axiom,
( ~ c_lessequals(V_G,c_Message_Oanalz(V_H),tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(c_Message_Oanalz(V_G),c_Message_Oanalz(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ),
file('theBenchmark.p',cls_analz__subset__iff_1) ).
cnf(cls_analz__subset__iff_0,axiom,
( ~ c_lessequals(c_Message_Oanalz(V_G),c_Message_Oanalz(V_H),tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(V_G,c_Message_Oanalz(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ),
file('theBenchmark.p',cls_analz__subset__iff_0) ).
cnf(cls_analz__increasing_0,axiom,
c_lessequals(V_H,c_Message_Oanalz(V_H),tc_fun(tc_Message_Omsg,tc_bool)),
file('theBenchmark.p',cls_analz__increasing_0) ).
cnf(cls_analz__analz__Un_0,axiom,
c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(V_G),V_H,tc_fun(tc_Message_Omsg,tc_bool))) = c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool))),
file('theBenchmark.p',cls_analz__analz__Un_0) ).
cnf(cls_analz__cong_0,axiom,
( c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool))) = c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(V_G_H,V_H_H,tc_fun(tc_Message_Omsg,tc_bool)))
| c_Message_Oanalz(V_G) != c_Message_Oanalz(V_G_H)
| c_Message_Oanalz(V_H) != c_Message_Oanalz(V_H_H) ),
file('theBenchmark.p',cls_analz__cong_0) ).
cnf(cls_used__nil__subset_0,axiom,
c_lessequals(c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),c_Event_Oused(V_evs),tc_fun(tc_Message_Omsg,tc_bool)),
file('theBenchmark.p',cls_used__nil__subset_0) ).
cnf(cls_Fake__parts__insert_0,axiom,
( ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)
| c_lessequals(c_Message_Oparts(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(V_H)),c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool)) ),
file('theBenchmark.p',cls_Fake__parts__insert_0) ).
cnf(cls_in__set__conv__decomp__first_2,axiom,
( c_in(V_x,c_List_Oset(V_xa,T_a),T_a)
| c_in(V_x,c_List_Oset(c_List_Oappend(V_xa,c_List_Olist_OCons(V_x,V_xb,T_a),T_a),T_a),T_a) ),
file('theBenchmark.p',cls_in__set__conv__decomp__first_2) ).
cnf(cls_in__set__conv__decomp__last_2,axiom,
( c_in(V_x,c_List_Oset(V_xb,T_a),T_a)
| c_in(V_x,c_List_Oset(c_List_Oappend(V_xa,c_List_Olist_OCons(V_x,V_xb,T_a),T_a),T_a),T_a) ),
file('theBenchmark.p',cls_in__set__conv__decomp__last_2) ).
cnf(cls_in__set__conv__decomp_1,axiom,
c_in(V_x,c_List_Oset(c_List_Oappend(V_xa,c_List_Olist_OCons(V_x,V_xb,T_a),T_a),T_a),T_a),
file('theBenchmark.p',cls_in__set__conv__decomp_1) ).
cnf(cls_parts__cut_0,axiom,
( ~ c_in(V_Y,c_Message_Oparts(c_Set_Oinsert(V_X,V_G,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg)
| c_in(V_Y,c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg) ),
file('theBenchmark.p',cls_parts__cut_0) ).
cnf(cls_gen__analz__insert__eq_0,axiom,
( ~ c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg)
| ~ c_lessequals(V_H,V_G,tc_fun(tc_Message_Omsg,tc_bool))
| c_Message_Oanalz(c_Set_Oinsert(V_X,V_G,tc_Message_Omsg)) = c_Message_Oanalz(V_G) ),
file('theBenchmark.p',cls_gen__analz__insert__eq_0) ).
cnf(cls_rev_Osimps_I2_J_0,axiom,
c_List_Orev(c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_Oappend(c_List_Orev(V_xs,T_a),c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a),
file('theBenchmark.p',cls_rev_Osimps_I2_J_0) ).
cnf(cls_rev__eq__Cons__iff_0,axiom,
( V_xs = c_List_Oappend(c_List_Orev(V_ys,T_a),c_List_Olist_OCons(V_y,c_List_Olist_ONil(T_a),T_a),T_a)
| c_List_Orev(V_xs,T_a) != c_List_Olist_OCons(V_y,V_ys,T_a) ),
file('theBenchmark.p',cls_rev__eq__Cons__iff_0) ).
cnf(cls_rev__eq__Cons__iff_1,axiom,
c_List_Orev(c_List_Oappend(c_List_Orev(V_ys,T_a),c_List_Olist_OCons(V_y,c_List_Olist_ONil(T_a),T_a),T_a),T_a) = c_List_Olist_OCons(V_y,V_ys,T_a),
file('theBenchmark.p',cls_rev__eq__Cons__iff_1) ).
cnf(cls_analz__insert__Crypt__subset_0,axiom,
c_lessequals(c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg)),c_Set_Oinsert(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oanalz(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)),
file('theBenchmark.p',cls_analz__insert__Crypt__subset_0) ).
cnf(cls_knows__Spy__Gets_0,axiom,
c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OGets(V_A,V_X),V_evs,tc_Event_Oevent)) = c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),
file('theBenchmark.p',cls_knows__Spy__Gets_0) ).
cnf(cls_knows__subset__knows__Says_0,axiom,
c_lessequals(c_Event_Oknows(V_A,V_evs),c_Event_Oknows(V_A,c_List_Olist_OCons(c_Event_Oevent_OSays(V_A_H,V_B,V_X),V_evs,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
file('theBenchmark.p',cls_knows__subset__knows__Says_0) ).
cnf(cls_not__symKeys__priK_0,axiom,
~ c_in(hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(V_b),V_A)),c_Message_OsymKeys,tc_nat),
file('theBenchmark.p',cls_not__symKeys__priK_0) ).
cnf(cls_knows__subset__knows__Notes_0,axiom,
c_lessequals(c_Event_Oknows(V_A,V_evs),c_Event_Oknows(V_A,c_List_Olist_OCons(c_Event_Oevent_ONotes(V_A_H,V_X),V_evs,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
file('theBenchmark.p',cls_knows__subset__knows__Notes_0) ).
cnf(cls_analz__image__freshK_2,axiom,
( ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_lessequals(V_KK,c_HOL_Ouminus__class_Ouminus(c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_fun(tc_nat,tc_bool)),tc_fun(tc_nat,tc_bool))
| ~ c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
| c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,V_KK,tc_nat,tc_Message_Omsg),c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg) ),
file('theBenchmark.p',cls_analz__image__freshK_2) ).
cnf(cls_analz__insert__Key_0,axiom,
( c_in(V_K,c_Message_OkeysFor(c_Message_Oanalz(V_H)),tc_nat)
| c_Message_Oanalz(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_K),V_H,tc_Message_Omsg)) = c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_H),tc_Message_Omsg) ),
file('theBenchmark.p',cls_analz__insert__Key_0) ).
cnf(cls_event_Osimps_I2_J_1,axiom,
( V_msg = V_msg_H
| c_Event_Oevent_OGets(V_agent,V_msg) != c_Event_Oevent_OGets(V_agent_H,V_msg_H) ),
file('theBenchmark.p',cls_event_Osimps_I2_J_1) ).
cnf(cls_event_Osimps_I2_J_0,axiom,
( V_agent = V_agent_H
| c_Event_Oevent_OGets(V_agent,V_msg) != c_Event_Oevent_OGets(V_agent_H,V_msg_H) ),
file('theBenchmark.p',cls_event_Osimps_I2_J_0) ).
cnf(cls_compl__eq__compl__iff_0,axiom,
( V_x = V_y
| c_HOL_Ouminus__class_Ouminus(V_x,T_a) != c_HOL_Ouminus__class_Ouminus(V_y,T_a)
| ~ class_Lattices_Oboolean__algebra(T_a) ),
file('theBenchmark.p',cls_compl__eq__compl__iff_0) ).
cnf(cls_neg__equal__iff__equal_0,axiom,
( V_a = V_b
| c_HOL_Ouminus__class_Ouminus(V_a,T_a) != c_HOL_Ouminus__class_Ouminus(V_b,T_a)
| ~ class_OrderedGroup_Ogroup__add(T_a) ),
file('theBenchmark.p',cls_neg__equal__iff__equal_0) ).
cnf(cls_Compl__eq__Compl__iff_0,axiom,
( V_A = V_B
| c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)) != c_HOL_Ouminus__class_Ouminus(V_B,tc_fun(T_a,tc_bool)) ),
file('theBenchmark.p',cls_Compl__eq__Compl__iff_0) ).
cnf(cls_equalityI_0,axiom,
( ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
| ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool))
| V_A = V_B ),
file('theBenchmark.p',cls_equalityI_0) ).
cnf(cls_set__eq__subset_2,axiom,
( ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
| ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool))
| V_A = V_B ),
file('theBenchmark.p',cls_set__eq__subset_2) ).
cnf(cls_order__eq__iff_2,axiom,
( ~ c_lessequals(V_x,V_y,T_a)
| ~ c_lessequals(V_y,V_x,T_a)
| V_x = V_y
| ~ class_Orderings_Oorder(T_a) ),
file('theBenchmark.p',cls_order__eq__iff_2) ).
cnf(cls_order__antisym_0,axiom,
( ~ c_lessequals(V_x,V_y,T_a)
| ~ c_lessequals(V_y,V_x,T_a)
| V_x = V_y
| ~ class_Orderings_Oorder(T_a) ),
file('theBenchmark.p',cls_order__antisym_0) ).
cnf(cls_order__antisym__conv_0,axiom,
( ~ c_lessequals(V_y,V_x,T_a)
| ~ c_lessequals(V_x,V_y,T_a)
| V_x = V_y
| ~ class_Orderings_Oorder(T_a) ),
file('theBenchmark.p',cls_order__antisym__conv_0) ).
cnf(cls_event_Osimps_I8_J_0,axiom,
c_Event_Oevent_OGets(V_agent,V_msg) != c_Event_Oevent_ONotes(V_agent_H,V_msg_H),
file('theBenchmark.p',cls_event_Osimps_I8_J_0) ).
cnf(cls_sup__absorb1_0,axiom,
( ~ c_lessequals(V_y,V_x,T_a)
| c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = V_x
| ~ class_Lattices_Oupper__semilattice(T_a) ),
file('theBenchmark.p',cls_sup__absorb1_0) ).
cnf(cls_le__iff__sup_1,axiom,
( c_lessequals(V_x,V_y,T_a)
| c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) != V_y
| ~ class_Lattices_Oupper__semilattice(T_a) ),
file('theBenchmark.p',cls_le__iff__sup_1) ).
cnf(cls_le__iff__sup_0,axiom,
( ~ c_lessequals(V_x,V_y,T_a)
| c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = V_y
| ~ class_Lattices_Oupper__semilattice(T_a) ),
file('theBenchmark.p',cls_le__iff__sup_0) ).
cnf(cls_Un__absorb1_0,axiom,
( ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
| c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) = V_B ),
file('theBenchmark.p',cls_Un__absorb1_0) ).
cnf(cls_Un__absorb2_0,axiom,
( ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool))
| c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) = V_A ),
file('theBenchmark.p',cls_Un__absorb2_0) ).
cnf(cls_subset__Un__eq_1,axiom,
( c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
| c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) != V_B ),
file('theBenchmark.p',cls_subset__Un__eq_1) ).
cnf(cls_set__append_0,axiom,
c_List_Oset(c_List_Oappend(V_xs,V_ys,T_a),T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_List_Oset(V_xs,T_a),c_List_Oset(V_ys,T_a),tc_fun(T_a,tc_bool)),
file('theBenchmark.p',cls_set__append_0) ).
cnf(cls_analz__image__freshK__simps_I57_J_0,axiom,
c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(V_f,V_A,T_b,T_a),c_Set_Oimage(V_f,V_B,T_b,T_a),tc_fun(T_a,tc_bool)) = c_Set_Oimage(V_f,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_b,tc_bool)),T_b,T_a),
file('theBenchmark.p',cls_analz__image__freshK__simps_I57_J_0) ).
cnf(cls_Un__mono_0,axiom,
( ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool))
| ~ c_lessequals(V_B,V_D,tc_fun(T_a,tc_bool))
| c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_C,V_D,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ),
file('theBenchmark.p',cls_Un__mono_0) ).
cnf(cls_subset__UNIV_0,axiom,
c_lessequals(V_A,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)),
file('theBenchmark.p',cls_subset__UNIV_0) ).
cnf(cls_top__greatest_0,axiom,
( c_lessequals(V_x,c_Orderings_Otop__class_Otop(T_a),T_a)
| ~ class_Orderings_Otop(T_a) ),
file('theBenchmark.p',cls_top__greatest_0) ).
cnf(cls_append__self__conv_0,axiom,
( V_ys = c_List_Olist_ONil(T_a)
| c_List_Oappend(V_xs,V_ys,T_a) != V_xs ),
file('theBenchmark.p',cls_append__self__conv_0) ).
cnf(cls_self__append__conv_0,axiom,
( V_ys = c_List_Olist_ONil(T_a)
| V_xs != c_List_Oappend(V_xs,V_ys,T_a) ),
file('theBenchmark.p',cls_self__append__conv_0) ).
cnf(cls_append__self__conv2_0,axiom,
( V_xs = c_List_Olist_ONil(T_a)
| c_List_Oappend(V_xs,V_ys,T_a) != V_ys ),
file('theBenchmark.p',cls_append__self__conv2_0) ).
cnf(cls_self__append__conv2_0,axiom,
( V_xs = c_List_Olist_ONil(T_a)
| V_ys != c_List_Oappend(V_xs,V_ys,T_a) ),
file('theBenchmark.p',cls_self__append__conv2_0) ).
cnf(cls_event_Osimps_I9_J_0,axiom,
c_Event_Oevent_ONotes(V_agent_H,V_msg_H) != c_Event_Oevent_OGets(V_agent,V_msg),
file('theBenchmark.p',cls_event_Osimps_I9_J_0) ).
cnf(cls_synth__increasing_0,axiom,
c_lessequals(V_H,c_Message_Osynth(V_H),tc_fun(tc_Message_Omsg,tc_bool)),
file('theBenchmark.p',cls_synth__increasing_0) ).
cnf(cls_le__sup__iff_1,axiom,
( ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a)
| c_lessequals(V_y,V_z,T_a)
| ~ class_Lattices_Oupper__semilattice(T_a) ),
file('theBenchmark.p',cls_le__sup__iff_1) ).
cnf(cls_le__sup__iff_0,axiom,
( ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a)
| c_lessequals(V_x,V_z,T_a)
| ~ class_Lattices_Oupper__semilattice(T_a) ),
file('theBenchmark.p',cls_le__sup__iff_0) ).
cnf(cls_le__supI2_0,axiom,
( ~ c_lessequals(V_x,V_b,T_a)
| c_lessequals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),T_a)
| ~ class_Lattices_Oupper__semilattice(T_a) ),
file('theBenchmark.p',cls_le__supI2_0) ).
cnf(cls_le__supI1_0,axiom,
( ~ c_lessequals(V_x,V_a,T_a)
| c_lessequals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),T_a)
| ~ class_Lattices_Oupper__semilattice(T_a) ),
file('theBenchmark.p',cls_le__supI1_0) ).
cnf(cls_le__supE_1,axiom,
( ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),V_x,T_a)
| c_lessequals(V_b,V_x,T_a)
| ~ class_Lattices_Oupper__semilattice(T_a) ),
file('theBenchmark.p',cls_le__supE_1) ).
cnf(cls_le__supE_0,axiom,
( ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),V_x,T_a)
| c_lessequals(V_a,V_x,T_a)
| ~ class_Lattices_Oupper__semilattice(T_a) ),
file('theBenchmark.p',cls_le__supE_0) ).
cnf(cls_Un__subset__iff_0,axiom,
( ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool))
| c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ),
file('theBenchmark.p',cls_Un__subset__iff_0) ).
cnf(cls_Un__subset__iff_1,axiom,
( ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool))
| c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool)) ),
file('theBenchmark.p',cls_Un__subset__iff_1) ).
cnf(cls_xt1_I6_J_0,axiom,
( ~ c_lessequals(V_y,V_x,T_a)
| ~ c_lessequals(V_z,V_y,T_a)
| c_lessequals(V_z,V_x,T_a)
| ~ class_Orderings_Oorder(T_a) ),
file('theBenchmark.p',cls_xt1_I6_J_0) ).
cnf(cls_order__trans_0,axiom,
( ~ c_lessequals(V_x,V_y,T_a)
| ~ c_lessequals(V_y,V_z,T_a)
| c_lessequals(V_x,V_z,T_a)
| ~ class_Orderings_Opreorder(T_a) ),
file('theBenchmark.p',cls_order__trans_0) ).
cnf(cls_equalityE_0,axiom,
c_lessequals(V_x,V_x,tc_fun(T_a,tc_bool)),
file('theBenchmark.p',cls_equalityE_0) ).
cnf(cls_subset__refl_0,axiom,
c_lessequals(V_A,V_A,tc_fun(T_a,tc_bool)),
file('theBenchmark.p',cls_subset__refl_0) ).
cnf(cls_subset__trans_0,axiom,
( ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
| ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool))
| c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ),
file('theBenchmark.p',cls_subset__trans_0) ).
cnf(cls_predicate1D_0,axiom,
( ~ c_lessequals(V_P,V_Q,tc_fun(T_a,tc_bool))
| ~ hBOOL(hAPP(V_P,V_x))
| hBOOL(hAPP(V_Q,V_x)) ),
file('theBenchmark.p',cls_predicate1D_0) ).
cnf(cls_order__eq__iff_0,axiom,
( c_lessequals(V_x,V_x,T_a)
| ~ class_Orderings_Oorder(T_a) ),
file('theBenchmark.p',cls_order__eq__iff_0) ).
cnf(cls_order__eq__refl_0,axiom,
( c_lessequals(V_x,V_x,T_a)
| ~ class_Orderings_Opreorder(T_a) ),
file('theBenchmark.p',cls_order__eq__refl_0) ).
cnf(cls_rev__predicate1D_0,axiom,
( ~ hBOOL(hAPP(V_P,V_x))
| ~ c_lessequals(V_P,V_Q,tc_fun(T_a,tc_bool))
| hBOOL(hAPP(V_Q,V_x)) ),
file('theBenchmark.p',cls_rev__predicate1D_0) ).
cnf(cls_image__mono_0,axiom,
( ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
| c_lessequals(c_Set_Oimage(V_f,V_A,T_a,T_b),c_Set_Oimage(V_f,V_B,T_a,T_b),tc_fun(T_b,tc_bool)) ),
file('theBenchmark.p',cls_image__mono_0) ).
cnf(cls_subset__image__iff_2,axiom,
( c_lessequals(c_Set_Oimage(V_f,V_x,T_b,T_a),c_Set_Oimage(V_f,V_A,T_b,T_a),tc_fun(T_a,tc_bool))
| ~ c_lessequals(V_x,V_A,tc_fun(T_b,tc_bool)) ),
file('theBenchmark.p',cls_subset__image__iff_2) ).
cnf(cls_insert__mono_0,axiom,
( ~ c_lessequals(V_C,V_D,tc_fun(T_a,tc_bool))
| c_lessequals(c_Set_Oinsert(V_a,V_C,T_a),c_Set_Oinsert(V_a,V_D,T_a),tc_fun(T_a,tc_bool)) ),
file('theBenchmark.p',cls_insert__mono_0) ).
cnf(cls_append__is__Nil__conv_2,axiom,
c_List_Oappend(c_List_Olist_ONil(T_a),c_List_Olist_ONil(T_a),T_a) = c_List_Olist_ONil(T_a),
file('theBenchmark.p',cls_append__is__Nil__conv_2) ).
cnf(cls_image__Un_0,axiom,
c_Set_Oimage(V_f,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_b,tc_bool)),T_b,T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(V_f,V_A,T_b,T_a),c_Set_Oimage(V_f,V_B,T_b,T_a),tc_fun(T_a,tc_bool)),
file('theBenchmark.p',cls_image__Un_0) ).
cnf(cls_analz__subset__cong_0,axiom,
( ~ c_lessequals(c_Message_Oanalz(V_G),c_Message_Oanalz(V_G_H),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Message_Oanalz(V_H),c_Message_Oanalz(V_H_H),tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool))),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(V_G_H,V_H_H,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)) ),
file('theBenchmark.p',cls_analz__subset__cong_0) ).
cnf(cls_append__assoc_0,axiom,
c_List_Oappend(c_List_Oappend(V_xs,V_ys,T_a),V_zs,T_a) = c_List_Oappend(V_xs,c_List_Oappend(V_ys,V_zs,T_a),T_a),
file('theBenchmark.p',cls_append__assoc_0) ).
cnf(cls_append__eq__appendI_0,axiom,
c_List_Oappend(V_xs,c_List_Oappend(V_xs1,V_us,T_a),T_a) = c_List_Oappend(c_List_Oappend(V_xs,V_xs1,T_a),V_us,T_a),
file('theBenchmark.p',cls_append__eq__appendI_0) ).
cnf(cls_append__eq__append__conv2_4,axiom,
c_List_Oappend(c_List_Oappend(V_zs,V_x,T_a),V_ys,T_a) = c_List_Oappend(V_zs,c_List_Oappend(V_x,V_ys,T_a),T_a),
file('theBenchmark.p',cls_append__eq__append__conv2_4) ).
cnf(cls_append__eq__append__conv2_5,axiom,
c_List_Oappend(V_xs,c_List_Oappend(V_x,V_ts,T_a),T_a) = c_List_Oappend(c_List_Oappend(V_xs,V_x,T_a),V_ts,T_a),
file('theBenchmark.p',cls_append__eq__append__conv2_5) ).
cnf(cls_linorder__linear_0,axiom,
( c_lessequals(V_x,V_y,T_a)
| c_lessequals(V_y,V_x,T_a)
| ~ class_Orderings_Olinorder(T_a) ),
file('theBenchmark.p',cls_linorder__linear_0) ).
cnf(cls_parts__insert__subset__Un_0,axiom,
( ~ c_in(V_X,V_G,tc_Message_Omsg)
| c_lessequals(c_Message_Oparts(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(V_G),c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool)) ),
file('theBenchmark.p',cls_parts__insert__subset__Un_0) ).
cnf(cls_Crypt__imp__keysFor_0,axiom,
( ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg)
| ~ c_in(V_K,c_Message_OsymKeys,tc_nat)
| c_in(V_K,c_Message_OkeysFor(V_H),tc_nat) ),
file('theBenchmark.p',cls_Crypt__imp__keysFor_0) ).
cnf(cls_knows__Spy__subset__knows__Spy__Gets_0,axiom,
c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OGets(V_A,V_X),V_evs,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
file('theBenchmark.p',cls_knows__Spy__subset__knows__Spy__Gets_0) ).
cnf(cls_subset__insert_0,axiom,
( c_in(V_x,V_A,T_a)
| ~ c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))
| c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ),
file('theBenchmark.p',cls_subset__insert_0) ).
cnf(cls_subset__insert_1,axiom,
( c_in(V_x,V_A,T_a)
| ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
| c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) ),
file('theBenchmark.p',cls_subset__insert_1) ).
cnf(cls_subset__insert__iff_1,axiom,
( ~ c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))
| c_in(V_x,V_A,T_a)
| c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ),
file('theBenchmark.p',cls_subset__insert__iff_1) ).
cnf(cls_subset__insert__iff_2,axiom,
( c_in(V_x,V_A,T_a)
| ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
| c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) ),
file('theBenchmark.p',cls_subset__insert__iff_2) ).
cnf(cls_insert__subset_0,axiom,
( ~ c_lessequals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool))
| c_in(V_x,V_B,T_a) ),
file('theBenchmark.p',cls_insert__subset_0) ).
cnf(cls_insert__subset_2,axiom,
( ~ c_in(V_x,V_B,T_a)
| ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
| c_lessequals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool)) ),
file('theBenchmark.p',cls_insert__subset_2) ).
cnf(cls_image__subset__iff_0,axiom,
( ~ c_lessequals(c_Set_Oimage(V_f,V_A,T_b,T_a),V_B,tc_fun(T_a,tc_bool))
| ~ c_in(V_x,V_A,T_b)
| c_in(hAPP(V_f,V_x),V_B,T_a) ),
file('theBenchmark.p',cls_image__subset__iff_0) ).
cnf(cls_Cons__eq__append__conv_4,axiom,
c_List_Olist_OCons(V_x,V_xs,T_a) = c_List_Oappend(c_List_Olist_ONil(T_a),c_List_Olist_OCons(V_x,V_xs,T_a),T_a),
file('theBenchmark.p',cls_Cons__eq__append__conv_4) ).
cnf(cls_append__eq__Cons__conv_4,axiom,
c_List_Oappend(c_List_Olist_ONil(T_a),c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_Olist_OCons(V_x,V_xs,T_a),
file('theBenchmark.p',cls_append__eq__Cons__conv_4) ).
cnf(cls_append1__eq__conv_0,axiom,
( V_xs = V_ys
| c_List_Oappend(V_xs,c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a) != c_List_Oappend(V_ys,c_List_Olist_OCons(V_y,c_List_Olist_ONil(T_a),T_a),T_a) ),
file('theBenchmark.p',cls_append1__eq__conv_0) ).
cnf(cls_append1__eq__conv_1,axiom,
( V_x = V_y
| c_List_Oappend(V_xs,c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a) != c_List_Oappend(V_ys,c_List_Olist_OCons(V_y,c_List_Olist_ONil(T_a),T_a),T_a) ),
file('theBenchmark.p',cls_append1__eq__conv_1) ).
cnf(cls_set__subset__Cons_0,axiom,
c_lessequals(c_List_Oset(V_xs,T_a),c_List_Oset(c_List_Olist_OCons(V_x,V_xs,T_a),T_a),tc_fun(T_a,tc_bool)),
file('theBenchmark.p',cls_set__subset__Cons_0) ).
cnf(cls_in__parts__UnE_0,axiom,
( ~ c_in(V_c,c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
| c_in(V_c,c_Message_Oparts(V_G),tc_Message_Omsg)
| c_in(V_c,c_Message_Oparts(V_H),tc_Message_Omsg) ),
file('theBenchmark.p',cls_in__parts__UnE_0) ).
cnf(cls_parts__trans_0,axiom,
( ~ c_in(V_X,c_Message_Oparts(V_G),tc_Message_Omsg)
| ~ c_lessequals(V_G,c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool))
| c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg) ),
file('theBenchmark.p',cls_parts__trans_0) ).
cnf(cls_analz__image__freshK__simps_I61_J_0,axiom,
( ~ c_in(V_c,c_Message_Oanalz(V_G),tc_Message_Omsg)
| c_in(V_c,c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_G,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg) ),
file('theBenchmark.p',cls_analz__image__freshK__simps_I61_J_0) ).
cnf(cls_analz__trans_0,axiom,
( ~ c_in(V_X,c_Message_Oanalz(V_G),tc_Message_Omsg)
| ~ c_lessequals(V_G,c_Message_Oanalz(V_H),tc_fun(tc_Message_Omsg,tc_bool))
| c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg) ),
file('theBenchmark.p',cls_analz__trans_0) ).
cnf(cls_keysFor__insert__MPair_0,axiom,
c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_OMPair(V_X,V_Y),V_H,tc_Message_Omsg)) = c_Message_OkeysFor(V_H),
file('theBenchmark.p',cls_keysFor__insert__MPair_0) ).
cnf(cls_analz__subset__parts_0,axiom,
c_lessequals(c_Message_Oanalz(V_H),c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)),
file('theBenchmark.p',cls_analz__subset__parts_0) ).
cnf(cls_synth__trans_0,axiom,
( ~ c_in(V_X,c_Message_Osynth(V_G),tc_Message_Omsg)
| ~ c_lessequals(V_G,c_Message_Osynth(V_H),tc_fun(tc_Message_Omsg,tc_bool))
| c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg) ),
file('theBenchmark.p',cls_synth__trans_0) ).
cnf(cls_parts__insert__subset_0,axiom,
c_lessequals(c_Set_Oinsert(V_X,c_Message_Oparts(V_H),tc_Message_Omsg),c_Message_Oparts(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),
file('theBenchmark.p',cls_parts__insert__subset_0) ).
cnf(cls_Fake__analz__insert_0,axiom,
( ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_G)),tc_Message_Omsg)
| c_lessequals(c_Message_Oanalz(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(V_G)),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool)) ),
file('theBenchmark.p',cls_Fake__analz__insert_0) ).
cnf(cls_parts__synth_0,axiom,
c_Message_Oparts(c_Message_Osynth(V_H)) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(V_H),c_Message_Osynth(V_H),tc_fun(tc_Message_Omsg,tc_bool)),
file('theBenchmark.p',cls_parts__synth_0) ).
cnf(cls_keysFor__insert__Key_0,axiom,
c_Message_OkeysFor(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_K),V_H,tc_Message_Omsg)) = c_Message_OkeysFor(V_H),
file('theBenchmark.p',cls_keysFor__insert__Key_0) ).
cnf(cls_analz__insert_0,axiom,
c_lessequals(c_Set_Oinsert(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg),c_Message_Oanalz(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),
file('theBenchmark.p',cls_analz__insert_0) ).
cnf(cls_synth__analz__mono_0,axiom,
( ~ c_lessequals(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(c_Message_Osynth(c_Message_Oanalz(V_G)),c_Message_Osynth(c_Message_Oanalz(V_H)),tc_fun(tc_Message_Omsg,tc_bool)) ),
file('theBenchmark.p',cls_synth__analz__mono_0) ).
cnf(cls_analz__synth_0,axiom,
c_Message_Oanalz(c_Message_Osynth(V_H)) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(V_H),c_Message_Osynth(V_H),tc_fun(tc_Message_Omsg,tc_bool)),
file('theBenchmark.p',cls_analz__synth_0) ).
cnf(cls_analz__synth__Un_0,axiom,
c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(V_G),V_H,tc_fun(tc_Message_Omsg,tc_bool))) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool))),c_Message_Osynth(V_G),tc_fun(tc_Message_Omsg,tc_bool)),
file('theBenchmark.p',cls_analz__synth__Un_0) ).
cnf(cls_keysFor__insert__Agent_0,axiom,
c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_OAgent(V_A),V_H,tc_Message_Omsg)) = c_Message_OkeysFor(V_H),
file('theBenchmark.p',cls_keysFor__insert__Agent_0) ).
cnf(cls_synth__insert_0,axiom,
c_lessequals(c_Set_Oinsert(V_X,c_Message_Osynth(V_H),tc_Message_Omsg),c_Message_Osynth(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),
file('theBenchmark.p',cls_synth__insert_0) ).
cnf(cls_keysFor__insert__Nonce_0,axiom,
c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_ONonce(V_N),V_H,tc_Message_Omsg)) = c_Message_OkeysFor(V_H),
file('theBenchmark.p',cls_keysFor__insert__Nonce_0) ).
cnf(cls_sym__shrK_0,axiom,
c_in(hAPP(c_Public_OshrK,V_X),c_Message_OsymKeys,tc_nat),
file('theBenchmark.p',cls_sym__shrK_0) ).
cnf(cls_invKey__image__eq_0,axiom,
( ~ c_in(hAPP(c_Message_OinvKey,V_x),c_Set_Oimage(c_Message_OinvKey,V_A,tc_nat,tc_nat),tc_nat)
| c_in(V_x,V_A,tc_nat) ),
file('theBenchmark.p',cls_invKey__image__eq_0) ).
cnf(cls_invKey__image__eq_1,axiom,
( ~ c_in(V_x,V_A,tc_nat)
| c_in(hAPP(c_Message_OinvKey,V_x),c_Set_Oimage(c_Message_OinvKey,V_A,tc_nat,tc_nat),tc_nat) ),
file('theBenchmark.p',cls_invKey__image__eq_1) ).
cnf(cls_symKeys__invKey__iff_0,axiom,
( ~ c_in(hAPP(c_Message_OinvKey,V_K),c_Message_OsymKeys,tc_nat)
| c_in(V_K,c_Message_OsymKeys,tc_nat) ),
file('theBenchmark.p',cls_symKeys__invKey__iff_0) ).
cnf(cls_symKeys__invKey__iff_1,axiom,
( ~ c_in(V_K,c_Message_OsymKeys,tc_nat)
| c_in(hAPP(c_Message_OinvKey,V_K),c_Message_OsymKeys,tc_nat) ),
file('theBenchmark.p',cls_symKeys__invKey__iff_1) ).
cnf(cls_invKey__K_0,axiom,
( ~ c_in(V_K,c_Message_OsymKeys,tc_nat)
| hAPP(c_Message_OinvKey,V_K) = V_K ),
file('theBenchmark.p',cls_invKey__K_0) ).
cnf(cls_not__symKeys__pubK_0,axiom,
~ c_in(hAPP(c_Public_OpublicKey(V_b),V_A),c_Message_OsymKeys,tc_nat),
file('theBenchmark.p',cls_not__symKeys__pubK_0) ).
cnf(cls_knows__subset__knows__Cons_0,axiom,
c_lessequals(c_Event_Oknows(V_A,V_evs),c_Event_Oknows(V_A,c_List_Olist_OCons(V_e,V_evs,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
file('theBenchmark.p',cls_knows__subset__knows__Cons_0) ).
cnf(cls_used__Gets_0,axiom,
c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_OGets(V_A,V_X),V_evs,tc_Event_Oevent)) = c_Event_Oused(V_evs),
file('theBenchmark.p',cls_used__Gets_0) ).
cnf(cls_spies__Gets__rev_0,axiom,
c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Oappend(V_evs,c_List_Olist_OCons(c_Event_Oevent_OGets(V_A,V_X),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)) = c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),
file('theBenchmark.p',cls_spies__Gets__rev_0) ).
cnf(cls_initState__subset__knows_0,axiom,
c_lessequals(c_Event_OinitState(V_A),c_Event_Oknows(V_A,V_evs),tc_fun(tc_Message_Omsg,tc_bool)),
file('theBenchmark.p',cls_initState__subset__knows_0) ).
cnf(cls_keysFor__parts__insert_0,axiom,
( ~ c_in(V_K,c_Message_OkeysFor(c_Message_Oparts(c_Set_Oinsert(V_X,V_G,tc_Message_Omsg))),tc_nat)
| ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)
| c_in(V_K,c_Message_OkeysFor(c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool)))),tc_nat)
| c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,V_K)),c_Message_Oparts(V_H),tc_Message_Omsg) ),
file('theBenchmark.p',cls_keysFor__parts__insert_0) ).
cnf(cls_Crypt__imp__invKey__keysFor_0,axiom,
( ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg)
| c_in(hAPP(c_Message_OinvKey,V_K),c_Message_OkeysFor(V_H),tc_nat) ),
file('theBenchmark.p',cls_Crypt__imp__invKey__keysFor_0) ).
cnf(cls_analz__image__freshK__lemma_1,axiom,
( c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,V_nE,tc_nat,tc_Message_Omsg),V_H,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
| ~ c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_H),tc_Message_Omsg)
| c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,V_nE,tc_nat,tc_Message_Omsg),V_H,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg) ),
file('theBenchmark.p',cls_analz__image__freshK__lemma_1) ).
cnf(cls_analz__image__freshK__lemma_5,axiom,
( ~ c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_H),tc_Message_Omsg)
| ~ c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_H),tc_Message_Omsg)
| c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,V_nE,tc_nat,tc_Message_Omsg),V_H,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg) ),
file('theBenchmark.p',cls_analz__image__freshK__lemma_5) ).
cnf(cls_parts__knows__Spy__subset__used_0,axiom,
c_lessequals(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),c_Event_Oused(V_evs),tc_fun(tc_Message_Omsg,tc_bool)),
file('theBenchmark.p',cls_parts__knows__Spy__subset__used_0) ).
cnf(cls_knows__Gets_0,axiom,
( V_A = c_Message_Oagent_OSpy
| c_Event_Oknows(V_A,c_List_Olist_OCons(c_Event_Oevent_OGets(V_A,V_X),V_evs,tc_Event_Oevent)) = c_Set_Oinsert(V_X,c_Event_Oknows(V_A,V_evs),tc_Message_Omsg) ),
file('theBenchmark.p',cls_knows__Gets_0) ).
cnf(cls_knows__Spy__subset__knows__Spy__Says_0,axiom,
c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OSays(V_A,V_B,V_X),V_evs,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
file('theBenchmark.p',cls_knows__Spy__subset__knows__Spy__Says_0) ).
cnf(cls_analz__image__freshK_1,axiom,
( ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_lessequals(V_KK,c_HOL_Ouminus__class_Ouminus(c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_fun(tc_nat,tc_bool)),tc_fun(tc_nat,tc_bool))
| ~ c_in(V_K,V_KK,tc_nat)
| c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,V_KK,tc_nat,tc_Message_Omsg),c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg) ),
file('theBenchmark.p',cls_analz__image__freshK_1) ).
cnf(cls_analz__image__freshK_0,axiom,
( ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_lessequals(V_KK,c_HOL_Ouminus__class_Ouminus(c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_fun(tc_nat,tc_bool)),tc_fun(tc_nat,tc_bool))
| ~ c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,V_KK,tc_nat,tc_Message_Omsg),c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
| c_in(V_K,V_KK,tc_nat)
| c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) ),
file('theBenchmark.p',cls_analz__image__freshK_0) ).
cnf(cls_knows__Spy__subset__knows__Spy__Notes_0,axiom,
c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(V_A,V_X),V_evs,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
file('theBenchmark.p',cls_knows__Spy__subset__knows__Spy__Notes_0) ).
cnf(cls_knows__imp__Says__Gets__Notes__initState_0,axiom,
( ~ c_in(V_X,c_Event_Oknows(V_A,V_evs),tc_Message_Omsg)
| V_A = c_Message_Oagent_OSpy
| c_in(c_Event_Oevent_OSays(V_A,c_Event_Osko__Event__Xknows__imp__Says__Gets__Notes__initState__1__1(V_A,V_X,V_evs),V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
| c_in(c_Event_Oevent_OGets(V_A,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
| c_in(c_Event_Oevent_ONotes(V_A,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
| c_in(V_X,c_Event_OinitState(V_A),tc_Message_Omsg) ),
file('theBenchmark.p',cls_knows__imp__Says__Gets__Notes__initState_0) ).
cnf(cls_knows__Spy__imp__Says__Notes__initState_0,axiom,
( ~ c_in(V_X,c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg)
| c_in(c_Event_Oevent_OSays(c_Event_Osko__Event__Xknows__Spy__imp__Says__Notes__initState__1__1(V_X,V_evs),c_Event_Osko__Event__Xknows__Spy__imp__Says__Notes__initState__1__2(V_X,V_evs),V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
| c_in(c_Event_Oevent_ONotes(c_Event_Osko__Event__Xknows__Spy__imp__Says__Notes__initState__1__1(V_X,V_evs),V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
| c_in(V_X,c_Event_OinitState(c_Message_Oagent_OSpy),tc_Message_Omsg) ),
file('theBenchmark.p',cls_knows__Spy__imp__Says__Notes__initState_0) ).
cnf(cls_publicKey__notin__image__privateKey_0,axiom,
~ c_in(hAPP(c_Public_OpublicKey(V_b),V_A),c_Set_Oimage(c_Message_OinvKey,c_Set_Oimage(c_Public_OpublicKey(V_c),V_AS,tc_Message_Oagent,tc_nat),tc_nat,tc_nat),tc_nat),
file('theBenchmark.p',cls_publicKey__notin__image__privateKey_0) ).
cnf(cls_privateKey__image__eq_0,axiom,
( ~ c_in(hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(V_b),V_A)),c_Set_Oimage(c_Message_OinvKey,c_Set_Oimage(c_Public_OpublicKey(V_c),V_AS,tc_Message_Oagent,tc_nat),tc_nat,tc_nat),tc_nat)
| V_b = V_c ),
file('theBenchmark.p',cls_privateKey__image__eq_0) ).
cnf(cls_Issues__def_0,axiom,
( ~ c_NS__Shared__Mirabelle_OIssues(V_A,V_B,V_X,V_evs)
| c_in(c_Event_Oevent_OSays(V_A,V_B,v_sko__NS__Shared__Mirabelle__XIssues__def__1(V_A,V_B,V_X,V_evs)),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ),
file('theBenchmark.p',cls_Issues__def_0) ).
cnf(cls_new__keys__not__used_0,axiom,
( c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Event_Oused(V_evs),tc_Message_Omsg)
| ~ c_in(V_K,c_Message_OsymKeys,tc_nat)
| ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(V_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs))),tc_nat) ),
file('theBenchmark.p',cls_new__keys__not__used_0) ).
cnf(cls_parts__spies__evs__revD2_0,axiom,
c_lessequals(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Orev(V_evs,tc_Event_Oevent))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_fun(tc_Message_Omsg,tc_bool)),
file('theBenchmark.p',cls_parts__spies__evs__revD2_0) ).
cnf(cls_Fake__parts__insert__in__Un_0,axiom,
( ~ c_in(V_Z,c_Message_Oparts(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)
| c_in(V_Z,c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(V_H)),c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg) ),
file('theBenchmark.p',cls_Fake__parts__insert__in__Un_0) ).
cnf(cls_analz__Decrypt_H_0,axiom,
( ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oanalz(V_H),tc_Message_Omsg)
| ~ c_in(V_K,c_Message_OsymKeys,tc_nat)
| ~ c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_H),tc_Message_Omsg)
| c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg) ),
file('theBenchmark.p',cls_analz__Decrypt_H_0) ).
cnf(cls_synth__analz__insert__eq_1,axiom,
( ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)
| ~ c_lessequals(V_H,V_G,tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_G),tc_Message_Omsg)
| c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Set_Oinsert(V_X,V_G,tc_Message_Omsg)),tc_Message_Omsg) ),
file('theBenchmark.p',cls_synth__analz__insert__eq_1) ).
cnf(cls_synth__analz__insert__eq_0,axiom,
( ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)
| ~ c_lessequals(V_H,V_G,tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Set_Oinsert(V_X,V_G,tc_Message_Omsg)),tc_Message_Omsg)
| c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_G),tc_Message_Omsg) ),
file('theBenchmark.p',cls_synth__analz__insert__eq_0) ).
cnf(cls_analz__image__freshK__lemma_2,axiom,
( ~ c_in(V_K,V_nE,tc_nat)
| ~ c_in(V_K,V_nE,tc_nat)
| c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,V_nE,tc_nat,tc_Message_Omsg),V_H,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg) ),
file('theBenchmark.p',cls_analz__image__freshK__lemma_2) ).
cnf(cls_analz__image__freshK__lemma_0,axiom,
( c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,V_nE,tc_nat,tc_Message_Omsg),V_H,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
| ~ c_in(V_K,V_nE,tc_nat)
| c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,V_nE,tc_nat,tc_Message_Omsg),V_H,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg) ),
file('theBenchmark.p',cls_analz__image__freshK__lemma_0) ).
cnf(cls_analz__image__freshK__lemma_4,axiom,
( ~ c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_H),tc_Message_Omsg)
| ~ c_in(V_K,V_nE,tc_nat)
| c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,V_nE,tc_nat,tc_Message_Omsg),V_H,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg) ),
file('theBenchmark.p',cls_analz__image__freshK__lemma_4) ).
cnf(cls_analz__image__freshK__lemma_3,axiom,
( ~ c_in(V_K,V_nE,tc_nat)
| ~ c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_H),tc_Message_Omsg)
| c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,V_nE,tc_nat,tc_Message_Omsg),V_H,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg) ),
file('theBenchmark.p',cls_analz__image__freshK__lemma_3) ).
cnf(cls_analz__mono__contra_I3_J_0,axiom,
( c_in(V_c,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OGets(V_A,V_X),V_evs,tc_Event_Oevent))),tc_Message_Omsg)
| ~ c_in(V_c,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) ),
file('theBenchmark.p',cls_analz__mono__contra_I3_J_0) ).
cnf(cls_Gets__imp__knows__agents_0,axiom,
( V_A = c_Message_Oagent_OSpy
| ~ c_in(c_Event_Oevent_OGets(V_A,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
| c_in(V_X,c_Event_Oknows(V_A,V_evs),tc_Message_Omsg) ),
file('theBenchmark.p',cls_Gets__imp__knows__agents_0) ).
cnf(cls_shrK__notin__image__privateKey_0,axiom,
~ c_in(hAPP(c_Public_OshrK,V_x),c_Set_Oimage(c_Message_OinvKey,c_Set_Oimage(c_Public_OpublicKey(V_b),V_AA,tc_Message_Oagent,tc_nat),tc_nat,tc_nat),tc_nat),
file('theBenchmark.p',cls_shrK__notin__image__privateKey_0) ).
cnf(cls_privateKey__image__eq_2,axiom,
( ~ c_in(V_A,V_AS,tc_Message_Oagent)
| c_in(hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(V_x),V_A)),c_Set_Oimage(c_Message_OinvKey,c_Set_Oimage(c_Public_OpublicKey(V_x),V_AS,tc_Message_Oagent,tc_nat),tc_nat,tc_nat),tc_nat) ),
file('theBenchmark.p',cls_privateKey__image__eq_2) ).
cnf(cls_privateKey__image__eq_1,axiom,
( ~ c_in(hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(V_b),V_A)),c_Set_Oimage(c_Message_OinvKey,c_Set_Oimage(c_Public_OpublicKey(V_c),V_AS,tc_Message_Oagent,tc_nat),tc_nat,tc_nat),tc_nat)
| c_in(V_A,V_AS,tc_Message_Oagent) ),
file('theBenchmark.p',cls_privateKey__image__eq_1) ).
cnf(cls_ns__sharedp_ONS5_0,axiom,
( ~ c_NS__Shared__Mirabelle_Ons__sharedp(V_evs5)
| ~ c_in(V_K,c_Message_OsymKeys,tc_nat)
| ~ c_in(c_Event_Oevent_OSays(V_B_H,V_A,c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_ONonce(V_NB))),c_List_Oset(V_evs5,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(V_S,V_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X))))),c_List_Oset(V_evs5,tc_Event_Oevent),tc_Event_Oevent)
| c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(V_A,V_B,c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NB),c_Message_Omsg_ONonce(V_NB)))),V_evs5,tc_Event_Oevent)) ),
file('theBenchmark.p',cls_ns__sharedp_ONS5_0) ).
cnf(cls_lemma1_0,axiom,
( ~ c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,V_K)),c_Message_Oanalz(V_H),tc_Message_Omsg)
| c_lessequals(c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg)),c_Set_Oinsert(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oanalz(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)) ),
file('theBenchmark.p',cls_lemma1_0) ).
cnf(cls_lemma2_0,axiom,
( ~ c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,V_K)),c_Message_Oanalz(V_H),tc_Message_Omsg)
| c_lessequals(c_Set_Oinsert(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oanalz(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)) ),
file('theBenchmark.p',cls_lemma2_0) ).
cnf(cls_spies__Says__rev_0,axiom,
c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Oappend(V_evs,c_List_Olist_OCons(c_Event_Oevent_OSays(V_A,V_B,V_X),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)) = c_Set_Oinsert(V_X,c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg),
file('theBenchmark.p',cls_spies__Says__rev_0) ).
cnf(cls_ns__sharedp_ONS4_0,axiom,
( ~ c_NS__Shared__Mirabelle_Ons__sharedp(V_evs4)
| c_in(c_Message_Omsg_ONonce(V_NB),c_Event_Oused(V_evs4),tc_Message_Omsg)
| ~ c_in(V_K,c_Message_OsymKeys,tc_nat)
| ~ c_in(c_Event_Oevent_OSays(V_A_H,V_B,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Omsg_OAgent(V_A)))),c_List_Oset(V_evs4,tc_Event_Oevent),tc_Event_Oevent)
| c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(V_B,V_A,c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_ONonce(V_NB))),V_evs4,tc_Event_Oevent)) ),
file('theBenchmark.p',cls_ns__sharedp_ONS4_0) ).
cnf(cls_ns__sharedp_OFake_0,axiom,
( ~ c_NS__Shared__Mirabelle_Ons__sharedp(V_evsf)
| ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evsf))),tc_Message_Omsg)
| c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,V_B,V_X),V_evsf,tc_Event_Oevent)) ),
file('theBenchmark.p',cls_ns__sharedp_OFake_0) ).
cnf(cls_ns__sharedp_ONS2_0,axiom,
( ~ c_NS__Shared__Mirabelle_Ons__sharedp(V_evs2)
| c_in(hAPP(c_Message_Omsg_OKey,V_KAB),c_Event_Oused(V_evs2),tc_Message_Omsg)
| ~ c_in(V_KAB,c_Message_OsymKeys,tc_nat)
| ~ c_in(c_Event_Oevent_OSays(V_A_H,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_ONonce(V_NA)))),c_List_Oset(V_evs2,tc_Event_Oevent),tc_Event_Oevent)
| c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_KAB),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_KAB),c_Message_Omsg_OAgent(V_A)))))))),V_evs2,tc_Event_Oevent)) ),
file('theBenchmark.p',cls_ns__sharedp_ONS2_0) ).
cnf(cls_spies__Notes__rev_1,axiom,
( c_in(V_A,c_Event_Obad,tc_Message_Oagent)
| c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Oappend(V_evs,c_List_Olist_OCons(c_Event_Oevent_ONotes(V_A,V_X),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)) = c_Event_Oknows(c_Message_Oagent_OSpy,V_evs) ),
file('theBenchmark.p',cls_spies__Notes__rev_1) ).
cnf(cls_ns__sharedp_ONS1_0,axiom,
( ~ c_NS__Shared__Mirabelle_Ons__sharedp(V_evs1)
| c_in(c_Message_Omsg_ONonce(V_NA),c_Event_Oused(V_evs1),tc_Message_Omsg)
| c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(V_A,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_ONonce(V_NA)))),V_evs1,tc_Event_Oevent)) ),
file('theBenchmark.p',cls_ns__sharedp_ONS1_0) ).
cnf(cls_spies__Notes__rev_0,axiom,
( ~ c_in(V_A,c_Event_Obad,tc_Message_Oagent)
| c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Oappend(V_evs,c_List_Olist_OCons(c_Event_Oevent_ONotes(V_A,V_X),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)) = c_Set_Oinsert(V_X,c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg) ),
file('theBenchmark.p',cls_spies__Notes__rev_0) ).
cnf(cls_ns__sharedp_ONS3_0,axiom,
( ~ c_NS__Shared__Mirabelle_Ons__sharedp(V_evs3)
| V_A = c_Message_Oagent_OServer
| ~ c_in(c_Event_Oevent_OSays(V_S,V_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X))))),c_List_Oset(V_evs3,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(V_A,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_ONonce(V_NA)))),c_List_Oset(V_evs3,tc_Event_Oevent),tc_Event_Oevent)
| c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(V_A,V_B,V_X),V_evs3,tc_Event_Oevent)) ),
file('theBenchmark.p',cls_ns__sharedp_ONS3_0) ).
cnf(cls_ns__sharedp_OOops_0,axiom,
( ~ c_NS__Shared__Mirabelle_Ons__sharedp(V_evso)
| ~ c_in(c_Event_Oevent_OSays(V_B,V_A,c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_ONonce(V_NB))),c_List_Oset(V_evso,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X))))),c_List_Oset(V_evso,tc_Event_Oevent),tc_Event_Oevent)
| c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NB),hAPP(c_Message_Omsg_OKey,V_K)))),V_evso,tc_Event_Oevent)) ),
file('theBenchmark.p',cls_ns__sharedp_OOops_0) ).
cnf(cls_ns__shared_ONS5_0,axiom,
( ~ c_in(V_evs5,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(V_K,c_Message_OsymKeys,tc_nat)
| ~ c_in(c_Event_Oevent_OSays(V_B_H,V_A,c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_ONonce(V_NB))),c_List_Oset(V_evs5,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(V_S,V_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X))))),c_List_Oset(V_evs5,tc_Event_Oevent),tc_Event_Oevent)
| c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(V_A,V_B,c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NB),c_Message_Omsg_ONonce(V_NB)))),V_evs5,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
file('theBenchmark.p',cls_ns__shared_ONS5_0) ).
cnf(cls_ns__shared_ONS4_0,axiom,
( ~ c_in(V_evs4,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| c_in(c_Message_Omsg_ONonce(V_NB),c_Event_Oused(V_evs4),tc_Message_Omsg)
| ~ c_in(V_K,c_Message_OsymKeys,tc_nat)
| ~ c_in(c_Event_Oevent_OSays(V_A_H,V_B,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Omsg_OAgent(V_A)))),c_List_Oset(V_evs4,tc_Event_Oevent),tc_Event_Oevent)
| c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(V_B,V_A,c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_ONonce(V_NB))),V_evs4,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
file('theBenchmark.p',cls_ns__shared_ONS4_0) ).
cnf(cls_ns__shared_ONS2_0,axiom,
( ~ c_in(V_evs2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| c_in(hAPP(c_Message_Omsg_OKey,V_KAB),c_Event_Oused(V_evs2),tc_Message_Omsg)
| ~ c_in(V_KAB,c_Message_OsymKeys,tc_nat)
| ~ c_in(c_Event_Oevent_OSays(V_A_H,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_ONonce(V_NA)))),c_List_Oset(V_evs2,tc_Event_Oevent),tc_Event_Oevent)
| c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_KAB),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_KAB),c_Message_Omsg_OAgent(V_A)))))))),V_evs2,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
file('theBenchmark.p',cls_ns__shared_ONS2_0) ).
cnf(cls_Says__imp__parts__knows__Spy_0,axiom,
( ~ c_in(c_Event_Oevent_OSays(V_A,V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
| c_in(V_X,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) ),
file('theBenchmark.p',cls_Says__imp__parts__knows__Spy_0) ).
cnf(cls_Says__imp__analz__Spy_0,axiom,
( ~ c_in(c_Event_Oevent_OSays(V_A,V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
| c_in(V_X,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) ),
file('theBenchmark.p',cls_Says__imp__analz__Spy_0) ).
cnf(cls_knows__Spy__Notes_0,axiom,
( ~ c_in(V_A,c_Event_Obad,tc_Message_Oagent)
| c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(V_A,V_X),V_evs,tc_Event_Oevent)) = c_Set_Oinsert(V_X,c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg) ),
file('theBenchmark.p',cls_knows__Spy__Notes_0) ).
cnf(cls_ns__shared_ONS1_0,axiom,
( ~ c_in(V_evs1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| c_in(c_Message_Omsg_ONonce(V_NA),c_Event_Oused(V_evs1),tc_Message_Omsg)
| c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(V_A,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_ONonce(V_NA)))),V_evs1,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
file('theBenchmark.p',cls_ns__shared_ONS1_0) ).
cnf(cls_ns__shared_OOops_0,axiom,
( ~ c_in(V_evso,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(V_B,V_A,c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_ONonce(V_NB))),c_List_Oset(V_evso,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X))))),c_List_Oset(V_evso,tc_Event_Oevent),tc_Event_Oevent)
| c_in(c_List_Olist_OCons(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NB),hAPP(c_Message_Omsg_OKey,V_K)))),V_evso,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
file('theBenchmark.p',cls_ns__shared_OOops_0) ).
cnf(cls_ns__shared_ONS3_0,axiom,
( ~ c_in(V_evs3,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| V_A = c_Message_Oagent_OServer
| ~ c_in(c_Event_Oevent_OSays(V_S,V_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X))))),c_List_Oset(V_evs3,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(V_A,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_ONonce(V_NA)))),c_List_Oset(V_evs3,tc_Event_Oevent),tc_Event_Oevent)
| c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(V_A,V_B,V_X),V_evs3,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
file('theBenchmark.p',cls_ns__shared_ONS3_0) ).
cnf(cls_Oops__parts__spies_0,axiom,
( ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(V_B,c_Message_Omsg_OMPair(V_K,V_X))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
| c_in(V_K,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) ),
file('theBenchmark.p',cls_Oops__parts__spies_0) ).
cnf(cls_Notes__imp__knows__Spy_0,axiom,
( ~ c_in(c_Event_Oevent_ONotes(V_A,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(V_A,c_Event_Obad,tc_Message_Oagent)
| c_in(V_X,c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg) ),
file('theBenchmark.p',cls_Notes__imp__knows__Spy_0) ).
cnf(cls_Says__Server__message__form_2,axiom,
( ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OCrypt(V_K_H,c_Message_Omsg_OMPair(V_N,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| V_K_H = hAPP(c_Public_OshrK,V_A) ),
file('theBenchmark.p',cls_Says__Server__message__form_2) ).
cnf(cls_unique__session__keys_0,axiom,
( ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A_H,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A_H),c_Message_Omsg_OMPair(V_NA_H,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B_H),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X_H))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| V_A = V_A_H ),
file('theBenchmark.p',cls_unique__session__keys_0) ).
cnf(cls_unique__session__keys_1,axiom,
( ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A_H,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A_H),c_Message_Omsg_OMPair(V_NA_H,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B_H),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X_H))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| V_NA = V_NA_H ),
file('theBenchmark.p',cls_unique__session__keys_1) ).
cnf(cls_unique__session__keys_2,axiom,
( ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A_H,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A_H),c_Message_Omsg_OMPair(V_NA_H,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B_H),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X_H))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| V_B = V_B_H ),
file('theBenchmark.p',cls_unique__session__keys_2) ).
cnf(cls_unique__session__keys_3,axiom,
( ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A_H,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A_H),c_Message_Omsg_OMPair(V_NA_H,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B_H),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X_H))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| V_X = V_X_H ),
file('theBenchmark.p',cls_unique__session__keys_3) ).
cnf(cls_Says__Server__message__form_1,axiom,
( ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OCrypt(V_K_H,c_Message_Omsg_OMPair(V_N,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| V_X = c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Omsg_OAgent(V_A))) ),
file('theBenchmark.p',cls_Says__Server__message__form_1) ).
cnf(cls_MPair__used_1,axiom,
( ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Event_Oused(V_H),tc_Message_Omsg)
| c_in(V_Y,c_Event_Oused(V_H),tc_Message_Omsg) ),
file('theBenchmark.p',cls_MPair__used_1) ).
cnf(cls_MPair__used_0,axiom,
( ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Event_Oused(V_H),tc_Message_Omsg)
| c_in(V_X,c_Event_Oused(V_H),tc_Message_Omsg) ),
file('theBenchmark.p',cls_MPair__used_0) ).
cnf(cls_synth_OMPair_0,axiom,
( ~ c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg)
| ~ c_in(V_Y,c_Message_Osynth(V_H),tc_Message_Omsg)
| c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Osynth(V_H),tc_Message_Omsg) ),
file('theBenchmark.p',cls_synth_OMPair_0) ).
cnf(cls_MPair__synth_1,axiom,
( ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Osynth(V_H),tc_Message_Omsg)
| c_in(c_Message_Omsg_OMPair(V_X,V_Y),V_H,tc_Message_Omsg)
| c_in(V_Y,c_Message_Osynth(V_H),tc_Message_Omsg) ),
file('theBenchmark.p',cls_MPair__synth_1) ).
cnf(cls_MPair__synth_0,axiom,
( ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Osynth(V_H),tc_Message_Omsg)
| c_in(c_Message_Omsg_OMPair(V_X,V_Y),V_H,tc_Message_Omsg)
| c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg) ),
file('theBenchmark.p',cls_MPair__synth_0) ).
cnf(cls_parts__insertI_0,axiom,
( ~ c_in(V_c,c_Message_Oparts(V_G),tc_Message_Omsg)
| c_in(V_c,c_Message_Oparts(c_Set_Oinsert(V_a,V_G,tc_Message_Omsg)),tc_Message_Omsg) ),
file('theBenchmark.p',cls_parts__insertI_0) ).
cnf(cls_parts__cut__eq_0,axiom,
( ~ c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg)
| c_Message_Oparts(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)) = c_Message_Oparts(V_H) ),
file('theBenchmark.p',cls_parts__cut__eq_0) ).
cnf(cls_parts__insert__MPair_0,axiom,
c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OMPair(V_X,V_Y),V_H,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oparts(c_Set_Oinsert(V_X,c_Set_Oinsert(V_Y,V_H,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg),
file('theBenchmark.p',cls_parts__insert__MPair_0) ).
cnf(cls_Crypt__synth_0,axiom,
( ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(V_H),tc_Message_Omsg)
| c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg)
| c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg) ),
file('theBenchmark.p',cls_Crypt__synth_0) ).
cnf(cls_pushes_I12_J_0,axiom,
c_Set_Oinsert(c_Message_Omsg_OCrypt(V_X,V_K),c_Set_Oinsert(c_Message_Omsg_OMPair(V_X_H,V_Y),V_A,tc_Message_Omsg),tc_Message_Omsg) = c_Set_Oinsert(c_Message_Omsg_OMPair(V_X_H,V_Y),c_Set_Oinsert(c_Message_Omsg_OCrypt(V_X,V_K),V_A,tc_Message_Omsg),tc_Message_Omsg),
file('theBenchmark.p',cls_pushes_I12_J_0) ).
cnf(cls_Key__synth__eq_1,axiom,
( ~ c_in(hAPP(c_Message_Omsg_OKey,V_K),V_H,tc_Message_Omsg)
| c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Osynth(V_H),tc_Message_Omsg) ),
file('theBenchmark.p',cls_Key__synth__eq_1) ).
cnf(cls_Key__synth_0,axiom,
( ~ c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Osynth(V_H),tc_Message_Omsg)
| c_in(hAPP(c_Message_Omsg_OKey,V_K),V_H,tc_Message_Omsg) ),
file('theBenchmark.p',cls_Key__synth_0) ).
cnf(cls_analz__cut_0,axiom,
( ~ c_in(V_Y,c_Message_Oanalz(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg)
| c_in(V_Y,c_Message_Oanalz(V_H),tc_Message_Omsg) ),
file('theBenchmark.p',cls_analz__cut_0) ).
cnf(cls_analz__insert__eq_0,axiom,
( ~ c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg)
| c_Message_Oanalz(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)) = c_Message_Oanalz(V_H) ),
file('theBenchmark.p',cls_analz__insert__eq_0) ).
cnf(cls_analz__insertI_0,axiom,
( ~ c_in(V_c,c_Message_Oanalz(V_G),tc_Message_Omsg)
| c_in(V_c,c_Message_Oanalz(c_Set_Oinsert(V_a,V_G,tc_Message_Omsg)),tc_Message_Omsg) ),
file('theBenchmark.p',cls_analz__insertI_0) ).
cnf(cls_pushes_I5_J_0,axiom,
c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_K),c_Set_Oinsert(c_Message_Omsg_OMPair(V_X,V_Y),V_A,tc_Message_Omsg),tc_Message_Omsg) = c_Set_Oinsert(c_Message_Omsg_OMPair(V_X,V_Y),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_K),V_A,tc_Message_Omsg),tc_Message_Omsg),
file('theBenchmark.p',cls_pushes_I5_J_0) ).
cnf(cls_parts__insert__Crypt_0,axiom,
c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oparts(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)),tc_Message_Omsg),
file('theBenchmark.p',cls_parts__insert__Crypt_0) ).
cnf(cls_analz__insert__MPair_0,axiom,
c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OMPair(V_X,V_Y),V_H,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oanalz(c_Set_Oinsert(V_X,c_Set_Oinsert(V_Y,V_H,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg),
file('theBenchmark.p',cls_analz__insert__MPair_0) ).
cnf(cls_analz__Crypt__if_0,axiom,
( ~ c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,V_K)),c_Message_Oanalz(V_H),tc_Message_Omsg)
| c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oanalz(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)),tc_Message_Omsg) ),
file('theBenchmark.p',cls_analz__Crypt__if_0) ).
cnf(cls_analz__Crypt__if_1,axiom,
( c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,V_K)),c_Message_Oanalz(V_H),tc_Message_Omsg)
| c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oanalz(V_H),tc_Message_Omsg) ),
file('theBenchmark.p',cls_analz__Crypt__if_1) ).
cnf(cls_Crypt__synth__analz_1,axiom,
( ~ c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_H),tc_Message_Omsg)
| ~ c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,V_K)),c_Message_Oanalz(V_H),tc_Message_Omsg)
| ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)
| c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg) ),
file('theBenchmark.p',cls_Crypt__synth__analz_1) ).
cnf(cls_Crypt__synth__analz_0,axiom,
( ~ c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_H),tc_Message_Omsg)
| ~ c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,V_K)),c_Message_Oanalz(V_H),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)
| c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg) ),
file('theBenchmark.p',cls_Crypt__synth__analz_0) ).
cnf(cls_parts__insert__Key_0,axiom,
c_Message_Oparts(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_K),V_H,tc_Message_Omsg)) = c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oparts(V_H),tc_Message_Omsg),
file('theBenchmark.p',cls_parts__insert__Key_0) ).
cnf(cls_parts__image__Key_0,axiom,
c_Message_Oparts(c_Set_Oimage(c_Message_Omsg_OKey,V_N,tc_nat,tc_Message_Omsg)) = c_Set_Oimage(c_Message_Omsg_OKey,V_N,tc_nat,tc_Message_Omsg),
file('theBenchmark.p',cls_parts__image__Key_0) ).
cnf(cls_synth_OAgent_0,axiom,
c_in(c_Message_Omsg_OAgent(V_agt),c_Message_Osynth(V_H),tc_Message_Omsg),
file('theBenchmark.p',cls_synth_OAgent_0) ).
cnf(cls_Agent__synth_0,axiom,
c_in(c_Message_Omsg_OAgent(V_A),c_Message_Osynth(V_H),tc_Message_Omsg),
file('theBenchmark.p',cls_Agent__synth_0) ).
cnf(cls_NS3__msg__in__parts__spies_0,axiom,
( ~ c_in(c_Event_Oevent_OSays(V_S,V_A,c_Message_Omsg_OCrypt(V_KA,c_Message_Omsg_OMPair(V_N,c_Message_Omsg_OMPair(V_B,c_Message_Omsg_OMPair(V_K,V_X))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
| c_in(V_X,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) ),
file('theBenchmark.p',cls_NS3__msg__in__parts__spies_0) ).
cnf(cls_pushes_I6_J_0,axiom,
c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_K),c_Set_Oinsert(c_Message_Omsg_OCrypt(V_X,V_K_H),V_A,tc_Message_Omsg),tc_Message_Omsg) = c_Set_Oinsert(c_Message_Omsg_OCrypt(V_X,V_K_H),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_K),V_A,tc_Message_Omsg),tc_Message_Omsg),
file('theBenchmark.p',cls_pushes_I6_J_0) ).
cnf(cls_Nonce__synth__eq_1,axiom,
( ~ c_in(c_Message_Omsg_ONonce(V_N),V_H,tc_Message_Omsg)
| c_in(c_Message_Omsg_ONonce(V_N),c_Message_Osynth(V_H),tc_Message_Omsg) ),
file('theBenchmark.p',cls_Nonce__synth__eq_1) ).
cnf(cls_Nonce__synth__eq_0,axiom,
( ~ c_in(c_Message_Omsg_ONonce(V_N),c_Message_Osynth(V_H),tc_Message_Omsg)
| c_in(c_Message_Omsg_ONonce(V_N),V_H,tc_Message_Omsg) ),
file('theBenchmark.p',cls_Nonce__synth__eq_0) ).
cnf(cls_Nonce__synth_0,axiom,
( ~ c_in(c_Message_Omsg_ONonce(V_n),c_Message_Osynth(V_H),tc_Message_Omsg)
| c_in(c_Message_Omsg_ONonce(V_n),V_H,tc_Message_Omsg) ),
file('theBenchmark.p',cls_Nonce__synth_0) ).
cnf(cls_analz__image__Key_0,axiom,
c_Message_Oanalz(c_Set_Oimage(c_Message_Omsg_OKey,V_N,tc_nat,tc_Message_Omsg)) = c_Set_Oimage(c_Message_Omsg_OKey,V_N,tc_nat,tc_Message_Omsg),
file('theBenchmark.p',cls_analz__image__Key_0) ).
cnf(cls_parts__insert__Agent_0,axiom,
c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OAgent(V_agt),V_H,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_OAgent(V_agt),c_Message_Oparts(V_H),tc_Message_Omsg),
file('theBenchmark.p',cls_parts__insert__Agent_0) ).
cnf(cls_analz__mono__contra_I2_J_0,axiom,
( c_in(V_c,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(V_A,V_X),V_evs,tc_Event_Oevent))),tc_Message_Omsg)
| ~ c_in(V_c,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) ),
file('theBenchmark.p',cls_analz__mono__contra_I2_J_0) ).
cnf(cls_analz__mono__contra_I1_J_0,axiom,
( c_in(V_c,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OSays(V_A,V_B,V_X),V_evs,tc_Event_Oevent))),tc_Message_Omsg)
| ~ c_in(V_c,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) ),
file('theBenchmark.p',cls_analz__mono__contra_I1_J_0) ).
cnf(cls_pushes_I8_J_0,axiom,
c_Set_Oinsert(c_Message_Omsg_OCrypt(V_X,V_K),c_Set_Oinsert(c_Message_Omsg_OAgent(V_C),V_A,tc_Message_Omsg),tc_Message_Omsg) = c_Set_Oinsert(c_Message_Omsg_OAgent(V_C),c_Set_Oinsert(c_Message_Omsg_OCrypt(V_X,V_K),V_A,tc_Message_Omsg),tc_Message_Omsg),
file('theBenchmark.p',cls_pushes_I8_J_0) ).
cnf(cls_parts__insert__Nonce_0,axiom,
c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_ONonce(V_N),V_H,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_ONonce(V_N),c_Message_Oparts(V_H),tc_Message_Omsg),
file('theBenchmark.p',cls_parts__insert__Nonce_0) ).
cnf(cls_pushes_I9_J_0,axiom,
c_Set_Oinsert(c_Message_Omsg_OCrypt(V_X,V_K),c_Set_Oinsert(c_Message_Omsg_ONonce(V_N),V_A,tc_Message_Omsg),tc_Message_Omsg) = c_Set_Oinsert(c_Message_Omsg_ONonce(V_N),c_Set_Oinsert(c_Message_Omsg_OCrypt(V_X,V_K),V_A,tc_Message_Omsg),tc_Message_Omsg),
file('theBenchmark.p',cls_pushes_I9_J_0) ).
cnf(cls_pushes_I1_J_0,axiom,
c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_K),c_Set_Oinsert(c_Message_Omsg_OAgent(V_C),V_A,tc_Message_Omsg),tc_Message_Omsg) = c_Set_Oinsert(c_Message_Omsg_OAgent(V_C),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_K),V_A,tc_Message_Omsg),tc_Message_Omsg),
file('theBenchmark.p',cls_pushes_I1_J_0) ).
cnf(cls_analz__insert__Agent_0,axiom,
c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OAgent(V_agt),V_H,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_OAgent(V_agt),c_Message_Oanalz(V_H),tc_Message_Omsg),
file('theBenchmark.p',cls_analz__insert__Agent_0) ).
cnf(cls_pushes_I2_J_0,axiom,
c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_K),c_Set_Oinsert(c_Message_Omsg_ONonce(V_N),V_A,tc_Message_Omsg),tc_Message_Omsg) = c_Set_Oinsert(c_Message_Omsg_ONonce(V_N),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_K),V_A,tc_Message_Omsg),tc_Message_Omsg),
file('theBenchmark.p',cls_pushes_I2_J_0) ).
cnf(cls_shrK__image__eq_0,axiom,
( ~ c_in(hAPP(c_Public_OshrK,V_x),c_Set_Oimage(c_Public_OshrK,V_AA,tc_Message_Oagent,tc_nat),tc_nat)
| c_in(V_x,V_AA,tc_Message_Oagent) ),
file('theBenchmark.p',cls_shrK__image__eq_0) ).
cnf(cls_shrK__image__eq_1,axiom,
( ~ c_in(V_x,V_AA,tc_Message_Oagent)
| c_in(hAPP(c_Public_OshrK,V_x),c_Set_Oimage(c_Public_OshrK,V_AA,tc_Message_Oagent,tc_nat),tc_nat) ),
file('theBenchmark.p',cls_shrK__image__eq_1) ).
cnf(cls_invKey__shrK_0,axiom,
hAPP(c_Message_OinvKey,hAPP(c_Public_OshrK,V_A)) = hAPP(c_Public_OshrK,V_A),
file('theBenchmark.p',cls_invKey__shrK_0) ).
cnf(cls_shrK__neq__pubK_0,axiom,
hAPP(c_Public_OpublicKey(V_b),V_C) != hAPP(c_Public_OshrK,V_A),
file('theBenchmark.p',cls_shrK__neq__pubK_0) ).
cnf(cls_pubK__neq__shrK_0,axiom,
hAPP(c_Public_OshrK,V_A) != hAPP(c_Public_OpublicKey(V_b),V_C),
file('theBenchmark.p',cls_pubK__neq__shrK_0) ).
cnf(cls_Says__Server__message__form_0,axiom,
( ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OCrypt(V_K_H,c_Message_Omsg_OMPair(V_N,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(V_K,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat) ),
file('theBenchmark.p',cls_Says__Server__message__form_0) ).
cnf(cls_agent_Osimps_I5_J_0,axiom,
c_Message_Oagent_OSpy != c_Message_Oagent_OServer,
file('theBenchmark.p',cls_agent_Osimps_I5_J_0) ).
cnf(cls_agent_Osimps_I4_J_0,axiom,
c_Message_Oagent_OServer != c_Message_Oagent_OSpy,
file('theBenchmark.p',cls_agent_Osimps_I4_J_0) ).
cnf(cls_Says__imp__spies_0,axiom,
( ~ c_in(c_Event_Oevent_OSays(V_A,V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
| c_in(V_X,c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg) ),
file('theBenchmark.p',cls_Says__imp__spies_0) ).
cnf(cls_analz__insert__cong_0,axiom,
( c_Message_Oanalz(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)) = c_Message_Oanalz(c_Set_Oinsert(V_X,V_H_H,tc_Message_Omsg))
| c_Message_Oanalz(V_H) != c_Message_Oanalz(V_H_H) ),
file('theBenchmark.p',cls_analz__insert__cong_0) ).
cnf(cls_Nonce__notin__used__empty_0,axiom,
~ c_in(c_Message_Omsg_ONonce(V_N),c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg),
file('theBenchmark.p',cls_Nonce__notin__used__empty_0) ).
cnf(cls_Fake__analz__eq_0,axiom,
( ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)
| c_Message_Osynth(c_Message_Oanalz(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg))) = c_Message_Osynth(c_Message_Oanalz(V_H)) ),
file('theBenchmark.p',cls_Fake__analz__eq_0) ).
cnf(cls_publicKey__in__initState_0,axiom,
c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(V_b),V_A)),c_Event_OinitState(V_B),tc_Message_Omsg),
file('theBenchmark.p',cls_publicKey__in__initState_0) ).
cnf(cls_Key__image__eq_0,axiom,
( ~ c_in(hAPP(c_Message_Omsg_OKey,V_x),c_Set_Oimage(c_Message_Omsg_OKey,V_A,tc_nat,tc_Message_Omsg),tc_Message_Omsg)
| c_in(V_x,V_A,tc_nat) ),
file('theBenchmark.p',cls_Key__image__eq_0) ).
cnf(cls_Key__image__eq_1,axiom,
( ~ c_in(V_x,V_A,tc_nat)
| c_in(hAPP(c_Message_Omsg_OKey,V_x),c_Set_Oimage(c_Message_Omsg_OKey,V_A,tc_nat,tc_Message_Omsg),tc_Message_Omsg) ),
file('theBenchmark.p',cls_Key__image__eq_1) ).
cnf(cls_publicKey__into__used_0,axiom,
c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(V_b),V_A)),c_Event_Oused(V_evs),tc_Message_Omsg),
file('theBenchmark.p',cls_publicKey__into__used_0) ).
cnf(cls_Crypt__notin__used__empty_0,axiom,
~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg),
file('theBenchmark.p',cls_Crypt__notin__used__empty_0) ).
cnf(cls_initState__into__used_0,axiom,
( ~ c_in(V_X,c_Message_Oparts(c_Event_OinitState(V_B)),tc_Message_Omsg)
| c_in(V_X,c_Event_Oused(V_evs),tc_Message_Omsg) ),
file('theBenchmark.p',cls_initState__into__used_0) ).
cnf(cls_synth__synthD_0,axiom,
( ~ c_in(V_X,c_Message_Osynth(c_Message_Osynth(V_H)),tc_Message_Omsg)
| c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg) ),
file('theBenchmark.p',cls_synth__synthD_0) ).
cnf(cls_synth_OInj_0,axiom,
( ~ c_in(V_X,V_H,tc_Message_Omsg)
| c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg) ),
file('theBenchmark.p',cls_synth_OInj_0) ).
cnf(cls_imageI_0,axiom,
( ~ c_in(V_x,V_A,T_a)
| c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_a,T_b),T_b) ),
file('theBenchmark.p',cls_imageI_0) ).
cnf(cls_image__eqI_0,axiom,
( ~ c_in(V_x,V_A,T_b)
| c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_b,T_a),T_a) ),
file('theBenchmark.p',cls_image__eqI_0) ).
cnf(cls_image__iff_2,axiom,
( c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_b,T_a),T_a)
| ~ c_in(V_x,V_A,T_b) ),
file('theBenchmark.p',cls_image__iff_2) ).
cnf(cls_rev__image__eqI_0,axiom,
( c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_aa,T_a),T_a)
| ~ c_in(V_x,V_A,T_aa) ),
file('theBenchmark.p',cls_rev__image__eqI_0) ).
cnf(cls_insert__absorb_0,axiom,
( ~ c_in(V_a,V_A,T_a)
| c_Set_Oinsert(V_a,V_A,T_a) = V_A ),
file('theBenchmark.p',cls_insert__absorb_0) ).
cnf(cls_insert__ident_0,axiom,
( V_A = V_B
| c_in(V_x,V_A,T_a)
| c_in(V_x,V_B,T_a)
| c_Set_Oinsert(V_x,V_A,T_a) != c_Set_Oinsert(V_x,V_B,T_a) ),
file('theBenchmark.p',cls_insert__ident_0) ).
cnf(cls_insertCI_1,axiom,
c_in(V_x,c_Set_Oinsert(V_x,V_B,T_a),T_a),
file('theBenchmark.p',cls_insertCI_1) ).
cnf(cls_insertI1_0,axiom,
c_in(V_a,c_Set_Oinsert(V_a,V_B,T_a),T_a),
file('theBenchmark.p',cls_insertI1_0) ).
cnf(cls_insert__iff_1,axiom,
c_in(V_x,c_Set_Oinsert(V_x,V_A,T_a),T_a),
file('theBenchmark.p',cls_insert__iff_1) ).
cnf(cls_UNIV__I_0,axiom,
c_in(V_x,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a),
file('theBenchmark.p',cls_UNIV__I_0) ).
cnf(cls_insertE_0,axiom,
( ~ c_in(V_a,c_Set_Oinsert(V_b,V_A,T_a),T_a)
| V_a = V_b
| c_in(V_a,V_A,T_a) ),
file('theBenchmark.p',cls_insertE_0) ).
cnf(cls_insertCI_0,axiom,
( ~ c_in(V_a,V_B,T_a)
| c_in(V_a,c_Set_Oinsert(V_b,V_B,T_a),T_a) ),
file('theBenchmark.p',cls_insertCI_0) ).
cnf(cls_insert__iff_2,axiom,
( ~ c_in(V_a,V_A,T_a)
| c_in(V_a,c_Set_Oinsert(V_b,V_A,T_a),T_a) ),
file('theBenchmark.p',cls_insert__iff_2) ).
cnf(cls_Key__not__used_0,axiom,
( c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Event_Oused(V_evs),tc_Message_Omsg)
| ~ c_in(V_K,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat) ),
file('theBenchmark.p',cls_Key__not__used_0) ).
cnf(cls_privateKey__into__used_0,axiom,
c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(V_b),V_A))),c_Event_Oused(V_evs),tc_Message_Omsg),
file('theBenchmark.p',cls_privateKey__into__used_0) ).
cnf(cls_shrK__notin__image__publicKey_0,axiom,
~ c_in(hAPP(c_Public_OshrK,V_x),c_Set_Oimage(c_Public_OpublicKey(V_b),V_AA,tc_Message_Oagent,tc_nat),tc_nat),
file('theBenchmark.p',cls_shrK__notin__image__publicKey_0) ).
cnf(cls_rev__is__Nil__conv_1,axiom,
c_List_Orev(c_List_Olist_ONil(T_a),T_a) = c_List_Olist_ONil(T_a),
file('theBenchmark.p',cls_rev__is__Nil__conv_1) ).
cnf(cls_analz__image__freshK__simps_I56_J_0,axiom,
c_Set_Oinsert(hAPP(V_f,V_a),c_Set_Oimage(V_f,V_B,T_b,T_a),T_a) = c_Set_Oimage(V_f,c_Set_Oinsert(V_a,V_B,T_b),T_b,T_a),
file('theBenchmark.p',cls_analz__image__freshK__simps_I56_J_0) ).
cnf(cls_event_Osimps_I7_J_0,axiom,
c_Event_Oevent_ONotes(V_agent_H,V_msg_H) != c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg),
file('theBenchmark.p',cls_event_Osimps_I7_J_0) ).
cnf(cls_singleton__rev__conv_1,axiom,
c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a) = c_List_Orev(c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a),
file('theBenchmark.p',cls_singleton__rev__conv_1) ).
cnf(cls_not__Cons__self_0,axiom,
V_xs != c_List_Olist_OCons(V_x,V_xs,T_a),
file('theBenchmark.p',cls_not__Cons__self_0) ).
cnf(cls_not__Cons__self2_0,axiom,
c_List_Olist_OCons(V_x,V_t,T_a) != V_t,
file('theBenchmark.p',cls_not__Cons__self2_0) ).
cnf(cls_rev__is__Nil__conv_0,axiom,
( V_xs = c_List_Olist_ONil(T_a)
| c_List_Orev(V_xs,T_a) != c_List_Olist_ONil(T_a) ),
file('theBenchmark.p',cls_rev__is__Nil__conv_0) ).
cnf(cls_synth__idem_0,axiom,
c_Message_Osynth(c_Message_Osynth(V_H)) = c_Message_Osynth(V_H),
file('theBenchmark.p',cls_synth__idem_0) ).
cnf(cls_list_Osimps_I3_J_0,axiom,
c_List_Olist_OCons(V_a_H,V_list_H,T_a) != c_List_Olist_ONil(T_a),
file('theBenchmark.p',cls_list_Osimps_I3_J_0) ).
cnf(cls_neq__Nil__conv_1,axiom,
c_List_Olist_OCons(V_x,V_xa,T_a) != c_List_Olist_ONil(T_a),
file('theBenchmark.p',cls_neq__Nil__conv_1) ).
cnf(cls_insert__image_0,axiom,
( ~ c_in(V_x,V_A,T_a)
| c_Set_Oinsert(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_a,T_b),T_b) = c_Set_Oimage(V_f,V_A,T_a,T_b) ),
file('theBenchmark.p',cls_insert__image_0) ).
cnf(cls_insert__code_2,axiom,
( ~ hBOOL(hAPP(V_A,V_x))
| hBOOL(hAPP(c_Set_Oinsert(V_y,V_A,T_a),V_x)) ),
file('theBenchmark.p',cls_insert__code_2) ).
cnf(cls_Notes__imp__knows_0,axiom,
( ~ c_in(c_Event_Oevent_ONotes(V_A,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
| c_in(V_X,c_Event_Oknows(V_A,V_evs),tc_Message_Omsg) ),
file('theBenchmark.p',cls_Notes__imp__knows_0) ).
cnf(cls_rev__singleton__conv_1,axiom,
c_List_Orev(c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a) = c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),
file('theBenchmark.p',cls_rev__singleton__conv_1) ).
cnf(cls_set__ConsD_0,axiom,
( ~ c_in(V_y,c_List_Oset(c_List_Olist_OCons(V_x,V_xs,T_a),T_a),T_a)
| V_y = V_x
| c_in(V_y,c_List_Oset(V_xs,T_a),T_a) ),
file('theBenchmark.p',cls_set__ConsD_0) ).
cnf(cls_priK__in__initState_0,axiom,
c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(V_b),V_A))),c_Event_OinitState(V_A),tc_Message_Omsg),
file('theBenchmark.p',cls_priK__in__initState_0) ).
cnf(cls_rangeI_0,axiom,
c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool)),T_b,T_a),T_a),
file('theBenchmark.p',cls_rangeI_0) ).
cnf(cls_insert__commute_0,axiom,
c_Set_Oinsert(V_x,c_Set_Oinsert(V_y,V_A,T_a),T_a) = c_Set_Oinsert(V_y,c_Set_Oinsert(V_x,V_A,T_a),T_a),
file('theBenchmark.p',cls_insert__commute_0) ).
cnf(cls_publicKey__inject_0,axiom,
( V_b = V_c
| hAPP(c_Public_OpublicKey(V_b),V_A) != hAPP(c_Public_OpublicKey(V_c),V_A_H) ),
file('theBenchmark.p',cls_publicKey__inject_0) ).
cnf(cls_publicKey__inject_1,axiom,
( V_A = V_A_H
| hAPP(c_Public_OpublicKey(V_b),V_A) != hAPP(c_Public_OpublicKey(V_c),V_A_H) ),
file('theBenchmark.p',cls_publicKey__inject_1) ).
cnf(cls_publicKey__notin__image__shrK_0,axiom,
~ c_in(hAPP(c_Public_OpublicKey(V_b),V_x),c_Set_Oimage(c_Public_OshrK,V_AA,tc_Message_Oagent,tc_nat),tc_nat),
file('theBenchmark.p',cls_publicKey__notin__image__shrK_0) ).
cnf(cls_singleton__rev__conv_0,axiom,
( V_xs = c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a)
| c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a) != c_List_Orev(V_xs,T_a) ),
file('theBenchmark.p',cls_singleton__rev__conv_0) ).
cnf(cls_privateKey__neq__publicKey_0,axiom,
hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(V_b),V_A)) != hAPP(c_Public_OpublicKey(V_c),V_A_H),
file('theBenchmark.p',cls_privateKey__neq__publicKey_0) ).
cnf(cls_event_Osimps_I6_J_0,axiom,
c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg) != c_Event_Oevent_ONotes(V_agent_H,V_msg_H),
file('theBenchmark.p',cls_event_Osimps_I6_J_0) ).
cnf(cls_invKey__eq_0,axiom,
( V_K = V_K_H
| hAPP(c_Message_OinvKey,V_K) != hAPP(c_Message_OinvKey,V_K_H) ),
file('theBenchmark.p',cls_invKey__eq_0) ).
cnf(cls_publicKey__image__eq_0,axiom,
( ~ c_in(hAPP(c_Public_OpublicKey(V_b),V_x),c_Set_Oimage(c_Public_OpublicKey(V_c),V_AA,tc_Message_Oagent,tc_nat),tc_nat)
| V_b = V_c ),
file('theBenchmark.p',cls_publicKey__image__eq_0) ).
cnf(cls_publicKey__image__eq_1,axiom,
( ~ c_in(hAPP(c_Public_OpublicKey(V_b),V_x),c_Set_Oimage(c_Public_OpublicKey(V_c),V_AA,tc_Message_Oagent,tc_nat),tc_nat)
| c_in(V_x,V_AA,tc_Message_Oagent) ),
file('theBenchmark.p',cls_publicKey__image__eq_1) ).
cnf(cls_publicKey__image__eq_2,axiom,
( ~ c_in(V_xa,V_AA,tc_Message_Oagent)
| c_in(hAPP(c_Public_OpublicKey(V_x),V_xa),c_Set_Oimage(c_Public_OpublicKey(V_x),V_AA,tc_Message_Oagent,tc_nat),tc_nat) ),
file('theBenchmark.p',cls_publicKey__image__eq_2) ).
cnf(cls_synth__cut_0,axiom,
( ~ c_in(V_Y,c_Message_Osynth(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg)
| c_in(V_Y,c_Message_Osynth(V_H),tc_Message_Omsg) ),
file('theBenchmark.p',cls_synth__cut_0) ).
cnf(cls_Says__imp__used_0,axiom,
( ~ c_in(c_Event_Oevent_OSays(V_A,V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
| c_in(V_X,c_Event_Oused(V_evs),tc_Message_Omsg) ),
file('theBenchmark.p',cls_Says__imp__used_0) ).
cnf(cls_privateKey__notin__image__publicKey_0,axiom,
~ c_in(hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(V_b),V_x)),c_Set_Oimage(c_Public_OpublicKey(V_c),V_AA,tc_Message_Oagent,tc_nat),tc_nat),
file('theBenchmark.p',cls_privateKey__notin__image__publicKey_0) ).
cnf(cls_rev__swap_0,axiom,
V_xs = c_List_Orev(c_List_Orev(V_xs,T_a),T_a),
file('theBenchmark.p',cls_rev__swap_0) ).
cnf(cls_rev__swap_1,axiom,
c_List_Orev(c_List_Orev(V_ys,T_a),T_a) = V_ys,
file('theBenchmark.p',cls_rev__swap_1) ).
cnf(cls_rev__rev__ident_0,axiom,
c_List_Orev(c_List_Orev(V_xs,T_a),T_a) = V_xs,
file('theBenchmark.p',cls_rev__rev__ident_0) ).
cnf(cls_insert__absorb2_0,axiom,
c_Set_Oinsert(V_x,c_Set_Oinsert(V_x,V_A,T_a),T_a) = c_Set_Oinsert(V_x,V_A,T_a),
file('theBenchmark.p',cls_insert__absorb2_0) ).
cnf(cls_insert__code_0,axiom,
( ~ hBOOL(hAPP(c_Set_Oinsert(V_y,V_A,T_a),V_x))
| V_y = V_x
| hBOOL(hAPP(V_A,V_x)) ),
file('theBenchmark.p',cls_insert__code_0) ).
cnf(cls_rev__singleton__conv_0,axiom,
( V_xs = c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a)
| c_List_Orev(V_xs,T_a) != c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a) ),
file('theBenchmark.p',cls_rev__singleton__conv_0) ).
cnf(cls_knows__Notes_0,axiom,
c_Event_Oknows(V_A,c_List_Olist_OCons(c_Event_Oevent_ONotes(V_A,V_X),V_evs,tc_Event_Oevent)) = c_Set_Oinsert(V_X,c_Event_Oknows(V_A,V_evs),tc_Message_Omsg),
file('theBenchmark.p',cls_knows__Notes_0) ).
cnf(cls_top1I_0,axiom,
hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_x)),
file('theBenchmark.p',cls_top1I_0) ).
cnf(cls_set__rev_0,axiom,
c_List_Oset(c_List_Orev(V_xs,T_a),T_a) = c_List_Oset(V_xs,T_a),
file('theBenchmark.p',cls_set__rev_0) ).
cnf(cls_privateKey__notin__image__shrK_0,axiom,
~ c_in(hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(V_b),V_x)),c_Set_Oimage(c_Public_OshrK,V_AA,tc_Message_Oagent,tc_nat),tc_nat),
file('theBenchmark.p',cls_privateKey__notin__image__shrK_0) ).
cnf(cls_list_Osimps_I2_J_0,axiom,
c_List_Olist_ONil(T_a) != c_List_Olist_OCons(V_a_H,V_list_H,T_a),
file('theBenchmark.p',cls_list_Osimps_I2_J_0) ).
cnf(cls_event_Osimps_I3_J_1,axiom,
( V_msg = V_msg_H
| c_Event_Oevent_ONotes(V_agent,V_msg) != c_Event_Oevent_ONotes(V_agent_H,V_msg_H) ),
file('theBenchmark.p',cls_event_Osimps_I3_J_1) ).
cnf(cls_event_Osimps_I3_J_0,axiom,
( V_agent = V_agent_H
| c_Event_Oevent_ONotes(V_agent,V_msg) != c_Event_Oevent_ONotes(V_agent_H,V_msg_H) ),
file('theBenchmark.p',cls_event_Osimps_I3_J_0) ).
cnf(cls_Notes__imp__used_0,axiom,
( ~ c_in(c_Event_Oevent_ONotes(V_A,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
| c_in(V_X,c_Event_Oused(V_evs),tc_Message_Omsg) ),
file('theBenchmark.p',cls_Notes__imp__used_0) ).
cnf(cls_knows__Says_0,axiom,
c_Event_Oknows(V_A,c_List_Olist_OCons(c_Event_Oevent_OSays(V_A,V_B,V_X),V_evs,tc_Event_Oevent)) = c_Set_Oinsert(V_X,c_Event_Oknows(V_A,V_evs),tc_Message_Omsg),
file('theBenchmark.p',cls_knows__Says_0) ).
cnf(cls_rev__is__rev__conv_0,axiom,
( V_xs = V_ys
| c_List_Orev(V_xs,T_a) != c_List_Orev(V_ys,T_a) ),
file('theBenchmark.p',cls_rev__is__rev__conv_0) ).
cnf(cls_image__insert_0,axiom,
c_Set_Oimage(V_f,c_Set_Oinsert(V_a,V_B,T_b),T_b,T_a) = c_Set_Oinsert(hAPP(V_f,V_a),c_Set_Oimage(V_f,V_B,T_b,T_a),T_a),
file('theBenchmark.p',cls_image__insert_0) ).
cnf(cls_Nil__is__rev__conv_0,axiom,
( V_xs = c_List_Olist_ONil(T_a)
| c_List_Olist_ONil(T_a) != c_List_Orev(V_xs,T_a) ),
file('theBenchmark.p',cls_Nil__is__rev__conv_0) ).
cnf(cls_insert__code_1,axiom,
hBOOL(hAPP(c_Set_Oinsert(V_x,V_A,T_a),V_x)),
file('theBenchmark.p',cls_insert__code_1) ).
cnf(cls_invKey_0,axiom,
hAPP(c_Message_OinvKey,hAPP(c_Message_OinvKey,V_K)) = V_K,
file('theBenchmark.p',cls_invKey_0) ).
cnf(cls_event_Osimps_I1_J_2,axiom,
( V_msg = V_msg_H
| c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg) != c_Event_Oevent_OSays(V_agent1_H,V_agent2_H,V_msg_H) ),
file('theBenchmark.p',cls_event_Osimps_I1_J_2) ).
cnf(cls_event_Osimps_I1_J_1,axiom,
( V_agent2 = V_agent2_H
| c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg) != c_Event_Oevent_OSays(V_agent1_H,V_agent2_H,V_msg_H) ),
file('theBenchmark.p',cls_event_Osimps_I1_J_1) ).
cnf(cls_event_Osimps_I1_J_0,axiom,
( V_agent1 = V_agent1_H
| c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg) != c_Event_Oevent_OSays(V_agent1_H,V_agent2_H,V_msg_H) ),
file('theBenchmark.p',cls_event_Osimps_I1_J_0) ).
cnf(cls_knows__Spy__Says_0,axiom,
c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OSays(V_A,V_B,V_X),V_evs,tc_Event_Oevent)) = c_Set_Oinsert(V_X,c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg),
file('theBenchmark.p',cls_knows__Spy__Says_0) ).
cnf(cls_knows__Nil_0,axiom,
c_Event_Oknows(V_A,c_List_Olist_ONil(tc_Event_Oevent)) = c_Event_OinitState(V_A),
file('theBenchmark.p',cls_knows__Nil_0) ).
cnf(cls_list_Oinject_0,axiom,
( V_a = V_a_H
| c_List_Olist_OCons(V_a,V_list,T_a) != c_List_Olist_OCons(V_a_H,V_list_H,T_a) ),
file('theBenchmark.p',cls_list_Oinject_0) ).
cnf(cls_list_Oinject_1,axiom,
( V_list = V_list_H
| c_List_Olist_OCons(V_a,V_list,T_a) != c_List_Olist_OCons(V_a_H,V_list_H,T_a) ),
file('theBenchmark.p',cls_list_Oinject_1) ).
cnf(cls_priK__neq__shrK_0,axiom,
hAPP(c_Public_OshrK,V_A) != hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(V_b),V_C)),
file('theBenchmark.p',cls_priK__neq__shrK_0) ).
cnf(cls_Nil__is__rev__conv_1,axiom,
c_List_Olist_ONil(T_a) = c_List_Orev(c_List_Olist_ONil(T_a),T_a),
file('theBenchmark.p',cls_Nil__is__rev__conv_1) ).
cnf(cls_List_Oset_Osimps_I2_J_0,axiom,
c_List_Oset(c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_Set_Oinsert(V_x,c_List_Oset(V_xs,T_a),T_a),
file('theBenchmark.p',cls_List_Oset_Osimps_I2_J_0) ).
cnf(cls_Says__imp__knows_0,axiom,
( ~ c_in(c_Event_Oevent_OSays(V_A,V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
| c_in(V_X,c_Event_Oknows(V_A,V_evs),tc_Message_Omsg) ),
file('theBenchmark.p',cls_Says__imp__knows_0) ).
cnf(cls_shrK__neq__priK_0,axiom,
hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(V_b),V_C)) != hAPP(c_Public_OshrK,V_A),
file('theBenchmark.p',cls_shrK__neq__priK_0) ).
cnf(cls_publicKey__neq__privateKey_0,axiom,
hAPP(c_Public_OpublicKey(V_c),V_A_H) != hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(V_b),V_A)),
file('theBenchmark.p',cls_publicKey__neq__privateKey_0) ).
cnf(cls_analz__insert__Nonce_0,axiom,
c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_ONonce(V_N),V_H,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_ONonce(V_N),c_Message_Oanalz(V_H),tc_Message_Omsg),
file('theBenchmark.p',cls_analz__insert__Nonce_0) ).
cnf(cls_Says__S__message__form_0,axiom,
( ~ c_in(c_Event_Oevent_OSays(V_S,V_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(V_K,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat)
| c_in(V_X,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) ),
file('theBenchmark.p',cls_Says__S__message__form_0) ).
cnf(cls_spies__evs__rev_0,axiom,
c_Event_Oknows(c_Message_Oagent_OSpy,V_evs) = c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Orev(V_evs,tc_Event_Oevent)),
file('theBenchmark.p',cls_spies__evs__rev_0) ).
cnf(cls_analz__insert__freshK_2,axiom,
( ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| c_in(V_KAB,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat)
| ~ c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
| c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_KAB),c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg)),tc_Message_Omsg) ),
file('theBenchmark.p',cls_analz__insert__freshK_2) ).
cnf(cls_analz__insert__freshK_0,axiom,
( ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| c_in(V_KAB,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat)
| ~ c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_KAB),c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg)),tc_Message_Omsg)
| V_K = V_KAB
| c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) ),
file('theBenchmark.p',cls_analz__insert__freshK_0) ).
cnf(cls_analz__insert__freshK_1,axiom,
( c_in(hAPP(c_Message_Omsg_OKey,V_x),c_Message_Oanalz(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_x),c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| c_in(V_x,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat) ),
file('theBenchmark.p',cls_analz__insert__freshK_1) ).
cnf(cls_Spy__not__see__encrypted__key_0,axiom,
( ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OCrypt(V_K_H,c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
| c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XSpy__not__see__encrypted__key__1(V_K,V_NA,V_evs),hAPP(c_Message_Omsg_OKey,V_K)))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
| c_in(V_A,c_Event_Obad,tc_Message_Oagent)
| c_in(V_B,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) ),
file('theBenchmark.p',cls_Spy__not__see__encrypted__key_0) ).
cnf(cls_ns__shared_OFake_0,axiom,
( ~ c_in(V_evsf,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evsf))),tc_Message_Omsg)
| c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,V_B,V_X),V_evsf,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
file('theBenchmark.p',cls_ns__shared_OFake_0) ).
cnf(cls_knows__Spy__Notes_1,axiom,
( c_in(V_A,c_Event_Obad,tc_Message_Oagent)
| c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(V_A,V_X),V_evs,tc_Event_Oevent)) = c_Event_Oknows(c_Message_Oagent_OSpy,V_evs) ),
file('theBenchmark.p',cls_knows__Spy__Notes_1) ).
cnf(cls_ns__shared_ONil_0,axiom,
c_in(c_List_Olist_ONil(tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)),
file('theBenchmark.p',cls_ns__shared_ONil_0) ).
cnf(cls_Server__not__bad_0,axiom,
~ c_in(c_Message_Oagent_OServer,c_Event_Obad,tc_Message_Oagent),
file('theBenchmark.p',cls_Server__not__bad_0) ).
cnf(cls_secrecy__lemma_0,axiom,
( ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Omsg_OAgent(V_A)))))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
| c_in(V_A,c_Event_Obad,tc_Message_Oagent)
| c_in(V_B,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__Xsecrecy__lemma__1(V_K,V_NA,V_evs),hAPP(c_Message_Omsg_OKey,V_K)))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) ),
file('theBenchmark.p',cls_secrecy__lemma_0) ).
cnf(cls_B__trusts__NS5_0,axiom,
( ~ c_in(c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NB),c_Message_Omsg_ONonce(V_NB))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Omsg_OAgent(V_A))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
| c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XB__trusts__NS5__1(V_K,V_evs),c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XB__trusts__NS5__2(V_K,V_evs),hAPP(c_Message_Omsg_OKey,V_K)))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
| c_in(V_A,c_Event_Obad,tc_Message_Oagent)
| c_in(V_B,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| c_in(c_Event_Oevent_OSays(V_A,V_B,c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NB),c_Message_Omsg_ONonce(V_NB)))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ),
file('theBenchmark.p',cls_B__trusts__NS5_0) ).
cnf(cls_NS4__implies__NS3_0,axiom,
( ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_ONonce(V_NB)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
| c_in(c_Event_Oevent_OSays(v_sko__NS__Shared__Mirabelle__XNS4__implies__NS3__1(V_B,V_X,V_evs),V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ),
file('theBenchmark.p',cls_NS4__implies__NS3_0) ).
cnf(cls_B__trusts__NS3_0,axiom,
( ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Omsg_OAgent(V_A))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
| c_in(V_B,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XB__trusts__NS3__1(V_A,V_B,V_K,V_evs),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Omsg_OAgent(V_A)))))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ),
file('theBenchmark.p',cls_B__trusts__NS3_0) ).
cnf(cls_A__trusts__NS4_0,axiom,
( ~ c_in(c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_ONonce(V_NB)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
| c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XA__trusts__NS4__1(V_K,V_NA,V_evs),hAPP(c_Message_Omsg_OKey,V_K)))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
| c_in(V_A,c_Event_Obad,tc_Message_Oagent)
| c_in(V_B,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| c_in(c_Event_Oevent_OSays(V_B,V_A,c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_ONonce(V_NB))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ),
file('theBenchmark.p',cls_A__trusts__NS4_0) ).
cnf(cls_Crypt__notin__initState_0,axiom,
~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oparts(c_Event_OinitState(V_B)),tc_Message_Omsg),
file('theBenchmark.p',cls_Crypt__notin__initState_0) ).
cnf(cls_MPair__synth__analz_1,axiom,
( ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)
| c_in(V_Y,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg) ),
file('theBenchmark.p',cls_MPair__synth__analz_1) ).
cnf(cls_MPair__synth__analz_0,axiom,
( ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)
| c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg) ),
file('theBenchmark.p',cls_MPair__synth__analz_0) ).
cnf(cls_MPair__synth__analz_2,axiom,
( ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)
| ~ c_in(V_Y,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)
| c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg) ),
file('theBenchmark.p',cls_MPair__synth__analz_2) ).
cnf(cls_Crypt__notin__image__Key_0,axiom,
~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Set_Oimage(c_Message_Omsg_OKey,V_A,tc_nat,tc_Message_Omsg),tc_Message_Omsg),
file('theBenchmark.p',cls_Crypt__notin__image__Key_0) ).
cnf(cls_Crypt__synth__eq_1,axiom,
( c_in(hAPP(c_Message_Omsg_OKey,V_K),V_H,tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg)
| c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(V_H),tc_Message_Omsg) ),
file('theBenchmark.p',cls_Crypt__synth__eq_1) ).
cnf(cls_Crypt__synth__eq_0,axiom,
( c_in(hAPP(c_Message_Omsg_OKey,V_K),V_H,tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(V_H),tc_Message_Omsg)
| c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg) ),
file('theBenchmark.p',cls_Crypt__synth__eq_0) ).
cnf(cls_Crypt__synth_1,axiom,
( ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(V_H),tc_Message_Omsg)
| c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg)
| c_in(hAPP(c_Message_Omsg_OKey,V_K),V_H,tc_Message_Omsg) ),
file('theBenchmark.p',cls_Crypt__synth_1) ).
cnf(cls_synth_OCrypt_0,axiom,
( ~ c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg)
| ~ c_in(hAPP(c_Message_Omsg_OKey,V_K),V_H,tc_Message_Omsg)
| c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(V_H),tc_Message_Omsg) ),
file('theBenchmark.p',cls_synth_OCrypt_0) ).
cnf(cls_Nonce__notin__initState_0,axiom,
~ c_in(c_Message_Omsg_ONonce(V_N),c_Message_Oparts(c_Event_OinitState(V_B)),tc_Message_Omsg),
file('theBenchmark.p',cls_Nonce__notin__initState_0) ).
cnf(cls_Nonce__Key__image__eq_0,axiom,
~ c_in(c_Message_Omsg_ONonce(V_x),c_Set_Oimage(c_Message_Omsg_OKey,V_A,tc_nat,tc_Message_Omsg),tc_Message_Omsg),
file('theBenchmark.p',cls_Nonce__Key__image__eq_0) ).
cnf(cls_shrK__in__initState_0,axiom,
c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,V_A)),c_Event_OinitState(V_A),tc_Message_Omsg),
file('theBenchmark.p',cls_shrK__in__initState_0) ).
cnf(cls_shrK__in__used_0,axiom,
c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,V_A)),c_Event_Oused(V_evs),tc_Message_Omsg),
file('theBenchmark.p',cls_shrK__in__used_0) ).
cnf(cls_neq__shrK_0,axiom,
c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,V_B)),c_Event_Oused(V_evs),tc_Message_Omsg),
file('theBenchmark.p',cls_neq__shrK_0) ).
cnf(cls_Spy__spies__bad__privateKey_0,axiom,
( ~ c_in(V_A,c_Event_Obad,tc_Message_Oagent)
| c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(V_b),V_A))),c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg) ),
file('theBenchmark.p',cls_Spy__spies__bad__privateKey_0) ).
cnf(cls_A__trusts__NS4__lemma_0,axiom,
( ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_ONonce(V_NB)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
| c_in(c_Event_Oevent_OSays(V_B,V_A,c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_ONonce(V_NB))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ),
file('theBenchmark.p',cls_A__trusts__NS4__lemma_0) ).
cnf(cls_A__trusts__NS2_0,axiom,
( ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
| c_in(V_A,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ),
file('theBenchmark.p',cls_A__trusts__NS2_0) ).
cnf(cls_B__trusts__NS5__lemma_0,axiom,
( c_in(V_B,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Omsg_OAgent(V_A)))))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NB),c_Message_Omsg_ONonce(V_NB))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
| c_in(c_Event_Oevent_OSays(V_A,V_B,c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NB),c_Message_Omsg_ONonce(V_NB)))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ),
file('theBenchmark.p',cls_B__trusts__NS5__lemma_0) ).
cnf(cls_analz_ODecrypt_0,axiom,
( ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oanalz(V_H),tc_Message_Omsg)
| ~ c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,V_K)),c_Message_Oanalz(V_H),tc_Message_Omsg)
| c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg) ),
file('theBenchmark.p',cls_analz_ODecrypt_0) ).
cnf(cls_usedI_0,axiom,
( ~ c_in(V_c,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
| c_in(V_c,c_Event_Oused(V_evs),tc_Message_Omsg) ),
file('theBenchmark.p',cls_usedI_0) ).
cnf(cls_spies__pubK_0,axiom,
c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(V_b),V_A)),c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg),
file('theBenchmark.p',cls_spies__pubK_0) ).
cnf(cls_Says__S__message__form_1,axiom,
( ~ c_in(c_Event_Oevent_OSays(V_S,V_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| V_X = c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Omsg_OAgent(V_A)))
| c_in(V_X,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) ),
file('theBenchmark.p',cls_Says__S__message__form_1) ).
cnf(cls_B__Issues__A_0,axiom,
( ~ c_in(c_Event_Oevent_OSays(V_B,V_A,c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_ONonce(V_Nb))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
| c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
| c_in(V_A,c_Event_Obad,tc_Message_Oagent)
| c_in(V_B,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| c_NS__Shared__Mirabelle_OIssues(V_B,V_A,c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_ONonce(V_Nb)),V_evs) ),
file('theBenchmark.p',cls_B__Issues__A_0) ).
cnf(cls_cert__A__form_0,axiom,
( ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
| c_in(V_A,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(V_K,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat) ),
file('theBenchmark.p',cls_cert__A__form_0) ).
cnf(cls_A__Issues__B_0,axiom,
( ~ c_in(c_Event_Oevent_OSays(V_A,V_B,c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NB),c_Message_Omsg_ONonce(V_NB)))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
| c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
| c_in(V_A,c_Event_Obad,tc_Message_Oagent)
| c_in(V_B,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| c_NS__Shared__Mirabelle_OIssues(V_A,V_B,c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NB),c_Message_Omsg_ONonce(V_NB))),V_evs) ),
file('theBenchmark.p',cls_A__Issues__B_0) ).
cnf(cls_analz__spies__pubK_0,axiom,
c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(V_b),V_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg),
file('theBenchmark.p',cls_analz__spies__pubK_0) ).
cnf(cls_A__trusts__NS5_0,axiom,
( ~ c_in(c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NB),c_Message_Omsg_ONonce(V_NB))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
| c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
| c_in(V_A,c_Event_Obad,tc_Message_Oagent)
| c_in(V_B,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| c_in(c_Event_Oevent_OSays(V_A,V_B,c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NB),c_Message_Omsg_ONonce(V_NB)))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ),
file('theBenchmark.p',cls_A__trusts__NS5_0) ).
cnf(cls_msg_Osimps_I1_J_0,axiom,
( V_agent = V_agent_H
| c_Message_Omsg_OAgent(V_agent) != c_Message_Omsg_OAgent(V_agent_H) ),
file('theBenchmark.p',cls_msg_Osimps_I1_J_0) ).
cnf(cls_parts__analz_0,axiom,
c_Message_Oparts(c_Message_Oanalz(V_H)) = c_Message_Oparts(V_H),
file('theBenchmark.p',cls_parts__analz_0) ).
cnf(cls_analz__idem_0,axiom,
c_Message_Oanalz(c_Message_Oanalz(V_H)) = c_Message_Oanalz(V_H),
file('theBenchmark.p',cls_analz__idem_0) ).
cnf(cls_analz_OSnd_0,axiom,
( ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oanalz(V_H),tc_Message_Omsg)
| c_in(V_Y,c_Message_Oanalz(V_H),tc_Message_Omsg) ),
file('theBenchmark.p',cls_analz_OSnd_0) ).
cnf(cls_analz_OFst_0,axiom,
( ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oanalz(V_H),tc_Message_Omsg)
| c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg) ),
file('theBenchmark.p',cls_analz_OFst_0) ).
cnf(cls_parts_OSnd_0,axiom,
( ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oparts(V_H),tc_Message_Omsg)
| c_in(V_Y,c_Message_Oparts(V_H),tc_Message_Omsg) ),
file('theBenchmark.p',cls_parts_OSnd_0) ).
cnf(cls_parts_OFst_0,axiom,
( ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oparts(V_H),tc_Message_Omsg)
| c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg) ),
file('theBenchmark.p',cls_parts_OFst_0) ).
cnf(cls_msg_Osimps_I37_J_0,axiom,
c_Message_Omsg_OCrypt(V_nat_H,V_msg_H) != c_Message_Omsg_ONonce(V_nat),
file('theBenchmark.p',cls_msg_Osimps_I37_J_0) ).
cnf(cls_msg_Osimps_I12_J_0,axiom,
c_Message_Omsg_OAgent(V_agent) != hAPP(c_Message_Omsg_OKey,V_nat_H),
file('theBenchmark.p',cls_msg_Osimps_I12_J_0) ).
cnf(cls_msg_Osimps_I31_J_0,axiom,
hAPP(c_Message_Omsg_OKey,V_nat_H) != c_Message_Omsg_ONonce(V_nat),
file('theBenchmark.p',cls_msg_Osimps_I31_J_0) ).
cnf(cls_A__authenticates__and__keydist__to__B_0,axiom,
( ~ c_in(c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_ONonce(V_NB)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
| c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
| c_in(V_A,c_Event_Obad,tc_Message_Oagent)
| c_in(V_B,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| c_NS__Shared__Mirabelle_OIssues(V_B,V_A,c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_ONonce(V_NB)),V_evs) ),
file('theBenchmark.p',cls_A__authenticates__and__keydist__to__B_0) ).
cnf(cls_parts_OInj_0,axiom,
( ~ c_in(V_X,V_H,tc_Message_Omsg)
| c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg) ),
file('theBenchmark.p',cls_parts_OInj_0) ).
cnf(cls_analz_OInj_0,axiom,
( ~ c_in(V_X,V_H,tc_Message_Omsg)
| c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg) ),
file('theBenchmark.p',cls_analz_OInj_0) ).
cnf(cls_Spy__in__bad_0,axiom,
c_in(c_Message_Oagent_OSpy,c_Event_Obad,tc_Message_Oagent),
file('theBenchmark.p',cls_Spy__in__bad_0) ).
cnf(cls_msg_Osimps_I43_J_0,axiom,
c_Message_Omsg_OCrypt(V_nat_H,V_msg_H) != hAPP(c_Message_Omsg_OKey,V_nat),
file('theBenchmark.p',cls_msg_Osimps_I43_J_0) ).
cnf(cls_parts__idem_0,axiom,
c_Message_Oparts(c_Message_Oparts(V_H)) = c_Message_Oparts(V_H),
file('theBenchmark.p',cls_parts__idem_0) ).
cnf(cls_msg_Osimps_I30_J_0,axiom,
c_Message_Omsg_ONonce(V_nat) != hAPP(c_Message_Omsg_OKey,V_nat_H),
file('theBenchmark.p',cls_msg_Osimps_I30_J_0) ).
cnf(cls_analz__parts_0,axiom,
c_Message_Oanalz(c_Message_Oparts(V_H)) = c_Message_Oparts(V_H),
file('theBenchmark.p',cls_analz__parts_0) ).
cnf(cls_msg_Osimps_I17_J_0,axiom,
c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H) != c_Message_Omsg_OAgent(V_agent),
file('theBenchmark.p',cls_msg_Osimps_I17_J_0) ).
cnf(cls_msg_Osimps_I11_J_0,axiom,
c_Message_Omsg_ONonce(V_nat_H) != c_Message_Omsg_OAgent(V_agent),
file('theBenchmark.p',cls_msg_Osimps_I11_J_0) ).
cnf(cls_parts_OBody_0,axiom,
( ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oparts(V_H),tc_Message_Omsg)
| c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg) ),
file('theBenchmark.p',cls_parts_OBody_0) ).
cnf(cls_analz__shrK__Decrypt_0,axiom,
( ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),V_X),c_Message_Oanalz(V_H),tc_Message_Omsg)
| ~ c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,V_A)),c_Message_Oanalz(V_H),tc_Message_Omsg)
| c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg) ),
file('theBenchmark.p',cls_analz__shrK__Decrypt_0) ).
cnf(cls_Spy__see__shrK_1,axiom,
( ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(V_A,c_Event_Obad,tc_Message_Oagent)
| c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,V_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) ),
file('theBenchmark.p',cls_Spy__see__shrK_1) ).
cnf(cls_Spy__see__shrK_0,axiom,
( ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,V_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
| c_in(V_A,c_Event_Obad,tc_Message_Oagent) ),
file('theBenchmark.p',cls_Spy__see__shrK_0) ).
cnf(cls_parts__partsD_0,axiom,
( ~ c_in(V_X,c_Message_Oparts(c_Message_Oparts(V_H)),tc_Message_Omsg)
| c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg) ),
file('theBenchmark.p',cls_parts__partsD_0) ).
cnf(cls_cert__A__form_1,axiom,
( ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
| c_in(V_A,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| V_X = c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Omsg_OAgent(V_A))) ),
file('theBenchmark.p',cls_cert__A__form_1) ).
cnf(cls_msg_Osimps_I4_J_0,axiom,
( V_nat = V_nat_H
| hAPP(c_Message_Omsg_OKey,V_nat) != hAPP(c_Message_Omsg_OKey,V_nat_H) ),
file('theBenchmark.p',cls_msg_Osimps_I4_J_0) ).
cnf(cls_msg_Osimps_I16_J_0,axiom,
c_Message_Omsg_OAgent(V_agent) != c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H),
file('theBenchmark.p',cls_msg_Osimps_I16_J_0) ).
cnf(cls_Spy__spies__bad__shrK_0,axiom,
( ~ c_in(V_A,c_Event_Obad,tc_Message_Oagent)
| c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,V_A)),c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg) ),
file('theBenchmark.p',cls_Spy__spies__bad__shrK_0) ).
cnf(cls_msg_Osimps_I18_J_0,axiom,
c_Message_Omsg_OAgent(V_agent) != c_Message_Omsg_OCrypt(V_nat_H,V_msg_H),
file('theBenchmark.p',cls_msg_Osimps_I18_J_0) ).
cnf(cls_msg_Osimps_I34_J_0,axiom,
c_Message_Omsg_ONonce(V_nat) != c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H),
file('theBenchmark.p',cls_msg_Osimps_I34_J_0) ).
cnf(cls_msg_Osimps_I48_J_0,axiom,
c_Message_Omsg_OMPair(V_msg1,V_msg2) != c_Message_Omsg_OCrypt(V_nat_H,V_msg_H),
file('theBenchmark.p',cls_msg_Osimps_I48_J_0) ).
cnf(cls_msg_Osimps_I19_J_0,axiom,
c_Message_Omsg_OCrypt(V_nat_H,V_msg_H) != c_Message_Omsg_OAgent(V_agent),
file('theBenchmark.p',cls_msg_Osimps_I19_J_0) ).
cnf(cls_shrK__in__knows_0,axiom,
c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,V_A)),c_Event_Oknows(V_A,V_evs),tc_Message_Omsg),
file('theBenchmark.p',cls_shrK__in__knows_0) ).
cnf(cls_msg_Osimps_I13_J_0,axiom,
hAPP(c_Message_Omsg_OKey,V_nat_H) != c_Message_Omsg_OAgent(V_agent),
file('theBenchmark.p',cls_msg_Osimps_I13_J_0) ).
cnf(cls_Spy__analz__shrK_0,axiom,
( ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,V_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
| c_in(V_A,c_Event_Obad,tc_Message_Oagent) ),
file('theBenchmark.p',cls_Spy__analz__shrK_0) ).
cnf(cls_Spy__analz__shrK_1,axiom,
( ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(V_A,c_Event_Obad,tc_Message_Oagent)
| c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,V_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) ),
file('theBenchmark.p',cls_Spy__analz__shrK_1) ).
cnf(cls_analz__analzD_0,axiom,
( ~ c_in(V_X,c_Message_Oanalz(c_Message_Oanalz(V_H)),tc_Message_Omsg)
| c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg) ),
file('theBenchmark.p',cls_analz__analzD_0) ).
cnf(cls_msg_Osimps_I3_J_0,axiom,
( V_nat = V_nat_H
| c_Message_Omsg_ONonce(V_nat) != c_Message_Omsg_ONonce(V_nat_H) ),
file('theBenchmark.p',cls_msg_Osimps_I3_J_0) ).
cnf(cls_mem__def_1,axiom,
( ~ hBOOL(hAPP(V_S,V_x))
| c_in(V_x,V_S,T_a) ),
file('theBenchmark.p',cls_mem__def_1) ).
cnf(cls_mem__def_0,axiom,
( ~ c_in(V_x,V_S,T_a)
| hBOOL(hAPP(V_S,V_x)) ),
file('theBenchmark.p',cls_mem__def_0) ).
cnf(cls_msg_Osimps_I36_J_0,axiom,
c_Message_Omsg_ONonce(V_nat) != c_Message_Omsg_OCrypt(V_nat_H,V_msg_H),
file('theBenchmark.p',cls_msg_Osimps_I36_J_0) ).
cnf(cls_msg_Osimps_I7_J_0,axiom,
( V_nat = V_nat_H
| c_Message_Omsg_OCrypt(V_nat,V_msg) != c_Message_Omsg_OCrypt(V_nat_H,V_msg_H) ),
file('theBenchmark.p',cls_msg_Osimps_I7_J_0) ).
cnf(cls_msg_Osimps_I7_J_1,axiom,
( V_msg = V_msg_H
| c_Message_Omsg_OCrypt(V_nat,V_msg) != c_Message_Omsg_OCrypt(V_nat_H,V_msg_H) ),
file('theBenchmark.p',cls_msg_Osimps_I7_J_1) ).
cnf(cls_msg_Osimps_I10_J_0,axiom,
c_Message_Omsg_OAgent(V_agent) != c_Message_Omsg_ONonce(V_nat_H),
file('theBenchmark.p',cls_msg_Osimps_I10_J_0) ).
cnf(cls_msg_Osimps_I6_J_0,axiom,
( V_msg1 = V_msg1_H
| c_Message_Omsg_OMPair(V_msg1,V_msg2) != c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H) ),
file('theBenchmark.p',cls_msg_Osimps_I6_J_0) ).
cnf(cls_msg_Osimps_I6_J_1,axiom,
( V_msg2 = V_msg2_H
| c_Message_Omsg_OMPair(V_msg1,V_msg2) != c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H) ),
file('theBenchmark.p',cls_msg_Osimps_I6_J_1) ).
cnf(cls_Crypt__Spy__analz__bad_0,axiom,
( ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),V_X),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
| ~ c_in(V_A,c_Event_Obad,tc_Message_Oagent)
| c_in(V_X,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) ),
file('theBenchmark.p',cls_Crypt__Spy__analz__bad_0) ).
cnf(cls_msg_Osimps_I35_J_0,axiom,
c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H) != c_Message_Omsg_ONonce(V_nat),
file('theBenchmark.p',cls_msg_Osimps_I35_J_0) ).
cnf(cls_msg_Osimps_I49_J_0,axiom,
c_Message_Omsg_OCrypt(V_nat_H,V_msg_H) != c_Message_Omsg_OMPair(V_msg1,V_msg2),
file('theBenchmark.p',cls_msg_Osimps_I49_J_0) ).
cnf(cls_msg_Osimps_I40_J_0,axiom,
hAPP(c_Message_Omsg_OKey,V_nat) != c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H),
file('theBenchmark.p',cls_msg_Osimps_I40_J_0) ).
cnf(cls_msg_Osimps_I41_J_0,axiom,
c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H) != hAPP(c_Message_Omsg_OKey,V_nat),
file('theBenchmark.p',cls_msg_Osimps_I41_J_0) ).
cnf(cls_msg_Osimps_I42_J_0,axiom,
hAPP(c_Message_Omsg_OKey,V_nat) != c_Message_Omsg_OCrypt(V_nat_H,V_msg_H),
file('theBenchmark.p',cls_msg_Osimps_I42_J_0) ).
cnf(cls_shrK__injective_0,axiom,
( V_x = V_y
| hAPP(c_Public_OshrK,V_x) != hAPP(c_Public_OshrK,V_y) ),
file('theBenchmark.p',cls_shrK__injective_0) ).
cnf(cls_not__parts__not__analz_0,axiom,
( c_in(V_c,c_Message_Oparts(V_H),tc_Message_Omsg)
| ~ c_in(V_c,c_Message_Oanalz(V_H),tc_Message_Omsg) ),
file('theBenchmark.p',cls_not__parts__not__analz_0) ).
cnf(cls_analz__into__parts_0,axiom,
( ~ c_in(V_c,c_Message_Oanalz(V_H),tc_Message_Omsg)
| c_in(V_c,c_Message_Oparts(V_H),tc_Message_Omsg) ),
file('theBenchmark.p',cls_analz__into__parts_0) ).
cnf(cls_analz__conj__parts_0,axiom,
( ~ c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg)
| c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg) ),
file('theBenchmark.p',cls_analz__conj__parts_0) ).
cnf(cls_conjecture_0,negated_conjecture,
c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
file('theBenchmark.p',cls_conjecture_0) ).
cnf(cls_conjecture_1,negated_conjecture,
c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OAgent(v_A))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
file('theBenchmark.p',cls_conjecture_1) ).
cnf(cls_conjecture_2,negated_conjecture,
~ c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
file('theBenchmark.p',cls_conjecture_2) ).
cnf(cls_conjecture_3,negated_conjecture,
~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
file('theBenchmark.p',cls_conjecture_3) ).
cnf(cls_conjecture_4,negated_conjecture,
~ c_in(v_B,c_Event_Obad,tc_Message_Oagent),
file('theBenchmark.p',cls_conjecture_4) ).
cnf(cls_conjecture_5,negated_conjecture,
c_in(v_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)),
file('theBenchmark.p',cls_conjecture_5) ).
cnf(cls_conjecture_6,negated_conjecture,
~ c_NS__Shared__Mirabelle_OIssues(v_A,v_B,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),v_evs),
file('theBenchmark.p',cls_conjecture_6) ).
cnf(clsarity_fun__Lattices_Oupper__semilattice,axiom,
( ~ class_Lattices_Olattice(T_1)
| class_Lattices_Oupper__semilattice(tc_fun(T_2,T_1)) ),
file('theBenchmark.p',clsarity_fun__Lattices_Oupper__semilattice) ).
cnf(clsarity_fun__Lattices_Obounded__lattice,axiom,
( ~ class_Lattices_Obounded__lattice(T_1)
| class_Lattices_Obounded__lattice(tc_fun(T_2,T_1)) ),
file('theBenchmark.p',clsarity_fun__Lattices_Obounded__lattice) ).
cnf(clsarity_fun__Lattices_Oboolean__algebra,axiom,
( ~ class_Lattices_Oboolean__algebra(T_1)
| class_Lattices_Oboolean__algebra(tc_fun(T_2,T_1)) ),
file('theBenchmark.p',clsarity_fun__Lattices_Oboolean__algebra) ).
cnf(clsarity_fun__Orderings_Opreorder,axiom,
( ~ class_Orderings_Opreorder(T_1)
| class_Orderings_Opreorder(tc_fun(T_2,T_1)) ),
file('theBenchmark.p',clsarity_fun__Orderings_Opreorder) ).
cnf(clsarity_fun__Lattices_Olattice,axiom,
( ~ class_Lattices_Olattice(T_1)
| class_Lattices_Olattice(tc_fun(T_2,T_1)) ),
file('theBenchmark.p',clsarity_fun__Lattices_Olattice) ).
cnf(clsarity_fun__Orderings_Oorder,axiom,
( ~ class_Orderings_Oorder(T_1)
| class_Orderings_Oorder(tc_fun(T_2,T_1)) ),
file('theBenchmark.p',clsarity_fun__Orderings_Oorder) ).
cnf(clsarity_fun__Orderings_Otop,axiom,
( ~ class_Orderings_Otop(T_1)
| class_Orderings_Otop(tc_fun(T_2,T_1)) ),
file('theBenchmark.p',clsarity_fun__Orderings_Otop) ).
cnf(clsarity_fun__HOL_Oord,axiom,
( ~ class_HOL_Oord(T_1)
| class_HOL_Oord(tc_fun(T_2,T_1)) ),
file('theBenchmark.p',clsarity_fun__HOL_Oord) ).
cnf(clsarity_nat__Lattices_Oupper__semilattice,axiom,
class_Lattices_Oupper__semilattice(tc_nat),
file('theBenchmark.p',clsarity_nat__Lattices_Oupper__semilattice) ).
cnf(clsarity_nat__Orderings_Opreorder,axiom,
class_Orderings_Opreorder(tc_nat),
file('theBenchmark.p',clsarity_nat__Orderings_Opreorder) ).
cnf(clsarity_nat__Orderings_Olinorder,axiom,
class_Orderings_Olinorder(tc_nat),
file('theBenchmark.p',clsarity_nat__Orderings_Olinorder) ).
cnf(clsarity_nat__Lattices_Olattice,axiom,
class_Lattices_Olattice(tc_nat),
file('theBenchmark.p',clsarity_nat__Lattices_Olattice) ).
cnf(clsarity_nat__Orderings_Oorder,axiom,
class_Orderings_Oorder(tc_nat),
file('theBenchmark.p',clsarity_nat__Orderings_Oorder) ).
cnf(clsarity_nat__HOL_Oord,axiom,
class_HOL_Oord(tc_nat),
file('theBenchmark.p',clsarity_nat__HOL_Oord) ).
cnf(clsarity_bool__Lattices_Oupper__semilattice,axiom,
class_Lattices_Oupper__semilattice(tc_bool),
file('theBenchmark.p',clsarity_bool__Lattices_Oupper__semilattice) ).
cnf(clsarity_bool__Lattices_Obounded__lattice,axiom,
class_Lattices_Obounded__lattice(tc_bool),
file('theBenchmark.p',clsarity_bool__Lattices_Obounded__lattice) ).
cnf(clsarity_bool__Lattices_Oboolean__algebra,axiom,
class_Lattices_Oboolean__algebra(tc_bool),
file('theBenchmark.p',clsarity_bool__Lattices_Oboolean__algebra) ).
cnf(clsarity_bool__Orderings_Opreorder,axiom,
class_Orderings_Opreorder(tc_bool),
file('theBenchmark.p',clsarity_bool__Orderings_Opreorder) ).
cnf(clsarity_bool__Lattices_Olattice,axiom,
class_Lattices_Olattice(tc_bool),
file('theBenchmark.p',clsarity_bool__Lattices_Olattice) ).
cnf(clsarity_bool__Orderings_Oorder,axiom,
class_Orderings_Oorder(tc_bool),
file('theBenchmark.p',clsarity_bool__Orderings_Oorder) ).
cnf(clsarity_bool__Orderings_Otop,axiom,
class_Orderings_Otop(tc_bool),
file('theBenchmark.p',clsarity_bool__Orderings_Otop) ).
cnf(clsarity_bool__HOL_Oord,axiom,
class_HOL_Oord(tc_bool),
file('theBenchmark.p',clsarity_bool__HOL_Oord) ).
cnf(cls_ATP__Linkup_Oequal__imp__fequal_0,axiom,
c_fequal(V_x,V_x,T_a),
file('theBenchmark.p',cls_ATP__Linkup_Oequal__imp__fequal_0) ).
cnf(cls_ATP__Linkup_Ofequal__imp__equal_0,axiom,
( ~ c_fequal(V_X,V_Y,T_a)
| V_X = V_Y ),
file('theBenchmark.p',cls_ATP__Linkup_Ofequal__imp__equal_0) ).
cnf(cls_analz__image__freshK__lemma_1_simplified,plain,
( c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,V_nE,tc_nat,tc_Message_Omsg),V_H,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
| ~ c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_H),tc_Message_Omsg) ),
inference(simplify_clause,[status(thm)],[cls_analz__image__freshK__lemma_1]) ).
cnf(cls_analz__image__freshK__lemma_5_simplified,plain,
( ~ c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_H),tc_Message_Omsg)
| c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,V_nE,tc_nat,tc_Message_Omsg),V_H,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg) ),
inference(simplify_clause,[status(thm)],[cls_analz__image__freshK__lemma_5]) ).
cnf(cls_analz__image__freshK__lemma_2_simplified,plain,
( ~ c_in(V_K,V_nE,tc_nat)
| c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,V_nE,tc_nat,tc_Message_Omsg),V_H,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg) ),
inference(simplify_clause,[status(thm)],[cls_analz__image__freshK__lemma_2]) ).
cnf(cls_analz__image__freshK__lemma_0_simplified,plain,
( c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,V_nE,tc_nat,tc_Message_Omsg),V_H,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
| ~ c_in(V_K,V_nE,tc_nat) ),
inference(simplify_clause,[status(thm)],[cls_analz__image__freshK__lemma_0]) ).
cnf(equality_1,axiom,
Eq_x_0 = Eq_x_0,
theory(equality,[reflexivity]) ).
cnf(equality_2,axiom,
( Eq_x_1 = Eq_x_0
| Eq_x_0 != Eq_x_1 ),
theory(equality,[symmetry]) ).
cnf(equality_3,axiom,
( Eq_x_0 = Eq_x_2
| Eq_x_1 != Eq_x_2
| Eq_x_0 != Eq_x_1 ),
theory(equality,[transitivity]) ).
cnf(equality_4,axiom,
( tc_fun(Eq_x_0,Eq_x_1) = tc_fun(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_5,axiom,
( c_HOL_Ouminus__class_Ouminus(Eq_x_0,Eq_x_1) = c_HOL_Ouminus__class_Ouminus(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_6,axiom,
( c_Message_Osynth(Eq_x_0) = c_Message_Osynth(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_7,axiom,
( c_List_Olist_ONil(Eq_x_0) = c_List_Olist_ONil(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_8,axiom,
( c_List_Oappend(Eq_x_0,Eq_x_1,Eq_x_2) = c_List_Oappend(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_9,axiom,
( c_Orderings_Otop__class_Otop(Eq_x_0) = c_Orderings_Otop__class_Otop(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_10,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(Eq_x_0,Eq_x_1,Eq_x_2) = c_Lattices_Oupper__semilattice__class_Osup(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_11,axiom,
( c_Message_Oparts(Eq_x_0) = c_Message_Oparts(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_12,axiom,
( c_Set_Oinsert(Eq_x_0,Eq_x_1,Eq_x_2) = c_Set_Oinsert(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_13,axiom,
( hAPP(Eq_x_0,Eq_x_1) = hAPP(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_14,axiom,
( c_Event_Oevent_OSays(Eq_x_0,Eq_x_1,Eq_x_2) = c_Event_Oevent_OSays(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_15,axiom,
( c_Event_Oevent_OGets(Eq_x_0,Eq_x_1) = c_Event_Oevent_OGets(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_16,axiom,
( c_Message_Oanalz(Eq_x_0) = c_Message_Oanalz(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_17,axiom,
( c_List_Olist_OCons(Eq_x_0,Eq_x_1,Eq_x_2) = c_List_Olist_OCons(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_18,axiom,
( c_Event_Oknows(Eq_x_0,Eq_x_1) = c_Event_Oknows(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_19,axiom,
( c_List_Orev(Eq_x_0,Eq_x_1) = c_List_Orev(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_20,axiom,
( c_Message_OkeysFor(Eq_x_0) = c_Message_OkeysFor(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_21,axiom,
( c_Event_Oused(Eq_x_0) = c_Event_Oused(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_22,axiom,
( c_List_Oset(Eq_x_0,Eq_x_1) = c_List_Oset(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_23,axiom,
( c_Message_Omsg_OCrypt(Eq_x_0,Eq_x_1) = c_Message_Omsg_OCrypt(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_24,axiom,
( c_Public_OpublicKey(Eq_x_0) = c_Public_OpublicKey(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_25,axiom,
( c_Event_Oevent_ONotes(Eq_x_0,Eq_x_1) = c_Event_Oevent_ONotes(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_26,axiom,
( c_Set_Oimage(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = c_Set_Oimage(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_27,axiom,
( tc_List_Olist(Eq_x_0) = tc_List_Olist(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_28,axiom,
( c_Message_Omsg_OMPair(Eq_x_0,Eq_x_1) = c_Message_Omsg_OMPair(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_29,axiom,
( c_Message_Omsg_OAgent(Eq_x_0) = c_Message_Omsg_OAgent(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_30,axiom,
( c_Message_Omsg_ONonce(Eq_x_0) = c_Message_Omsg_ONonce(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_31,axiom,
( c_Event_OinitState(Eq_x_0) = c_Event_OinitState(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_32,axiom,
( c_Event_Osko__Event__Xknows__imp__Says__Gets__Notes__initState__1__1(Eq_x_0,Eq_x_1,Eq_x_2) = c_Event_Osko__Event__Xknows__imp__Says__Gets__Notes__initState__1__1(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_33,axiom,
( c_Event_Osko__Event__Xknows__Spy__imp__Says__Notes__initState__1__1(Eq_x_0,Eq_x_1) = c_Event_Osko__Event__Xknows__Spy__imp__Says__Notes__initState__1__1(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_34,axiom,
( c_Event_Osko__Event__Xknows__Spy__imp__Says__Notes__initState__1__2(Eq_x_0,Eq_x_1) = c_Event_Osko__Event__Xknows__Spy__imp__Says__Notes__initState__1__2(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_35,axiom,
( v_sko__NS__Shared__Mirabelle__XIssues__def__1(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = v_sko__NS__Shared__Mirabelle__XIssues__def__1(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_36,axiom,
( v_sko__NS__Shared__Mirabelle__XSpy__not__see__encrypted__key__1(Eq_x_0,Eq_x_1,Eq_x_2) = v_sko__NS__Shared__Mirabelle__XSpy__not__see__encrypted__key__1(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_37,axiom,
( v_sko__NS__Shared__Mirabelle__Xsecrecy__lemma__1(Eq_x_0,Eq_x_1,Eq_x_2) = v_sko__NS__Shared__Mirabelle__Xsecrecy__lemma__1(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_38,axiom,
( v_sko__NS__Shared__Mirabelle__XB__trusts__NS5__1(Eq_x_0,Eq_x_1) = v_sko__NS__Shared__Mirabelle__XB__trusts__NS5__1(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_39,axiom,
( v_sko__NS__Shared__Mirabelle__XB__trusts__NS5__2(Eq_x_0,Eq_x_1) = v_sko__NS__Shared__Mirabelle__XB__trusts__NS5__2(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_40,axiom,
( v_sko__NS__Shared__Mirabelle__XNS4__implies__NS3__1(Eq_x_0,Eq_x_1,Eq_x_2) = v_sko__NS__Shared__Mirabelle__XNS4__implies__NS3__1(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_41,axiom,
( v_sko__NS__Shared__Mirabelle__XB__trusts__NS3__1(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = v_sko__NS__Shared__Mirabelle__XB__trusts__NS3__1(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_42,axiom,
( v_sko__NS__Shared__Mirabelle__XA__trusts__NS4__1(Eq_x_0,Eq_x_1,Eq_x_2) = v_sko__NS__Shared__Mirabelle__XA__trusts__NS4__1(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_43,axiom,
( c_lessequals(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ c_lessequals(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_44,axiom,
( class_Lattices_Obounded__lattice(Eq_y_0)
| ~ class_Lattices_Obounded__lattice(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_45,axiom,
( hBOOL(Eq_y_0)
| ~ hBOOL(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_46,axiom,
( c_NS__Shared__Mirabelle_Ons__sharedp(Eq_y_0)
| ~ c_NS__Shared__Mirabelle_Ons__sharedp(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_47,axiom,
( class_OrderedGroup_Opordered__ab__group__add(Eq_y_0)
| ~ class_OrderedGroup_Opordered__ab__group__add(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_48,axiom,
( class_Lattices_Oupper__semilattice(Eq_y_0)
| ~ class_Lattices_Oupper__semilattice(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_49,axiom,
( class_Lattices_Olattice(Eq_y_0)
| ~ class_Lattices_Olattice(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_50,axiom,
( class_Lattices_Oboolean__algebra(Eq_y_0)
| ~ class_Lattices_Oboolean__algebra(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_51,axiom,
( class_OrderedGroup_Ogroup__add(Eq_y_0)
| ~ class_OrderedGroup_Ogroup__add(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_52,axiom,
( class_HOL_Oord(Eq_y_0)
| ~ class_HOL_Oord(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_53,axiom,
( c_in(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ c_in(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_54,axiom,
( class_Orderings_Oorder(Eq_y_0)
| ~ class_Orderings_Oorder(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_55,axiom,
( class_Orderings_Otop(Eq_y_0)
| ~ class_Orderings_Otop(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_56,axiom,
( class_Orderings_Opreorder(Eq_y_0)
| ~ class_Orderings_Opreorder(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_57,axiom,
( class_Orderings_Olinorder(Eq_y_0)
| ~ class_Orderings_Olinorder(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_58,axiom,
( c_NS__Shared__Mirabelle_OIssues(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ c_NS__Shared__Mirabelle_OIssues(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_59,axiom,
( c_fequal(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ c_fequal(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(sat_proved,plain,
$false,
inference(cadical,[status(thm)],[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV816-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.03 This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.00/0.03 % Command : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.38 % Computer : n002.cluster.edu
% 0.09/0.38 % Model : x86_64 x86_64
% 0.09/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.38 % Memory : 8046.5625MB
% 0.09/0.38 % OS : Linux 6.8.0-71-generic
% 0.09/0.38 % CPULimit : 300
% 0.09/0.38 % WCLimit : 300
% 0.09/0.38 % DateTime : Sun Sep 20 04:49:22 UTC 2026
% 0.09/0.38 % CPUTime :
% 165.10/165.46 % SZS status Unsatisfiable for theBenchmark
% 165.10/165.46 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------